101 Prime Number, Prime(26)
Twin Prime
Sexy Prime (Primes p such that p + 6 is also prime)
101 = 1 + 2 + 34 + 5 + 6 × 7 + 8 + 9
101 = 9 × 8 + 7 + 6 + 5 + 4 + 3 × 2 + 1
101 = 0^6 + 1^8 − 2^4 − 3^9 + 4^7 + 5^5 + 6^3 + 7^0 + 8^2 + 9^1
101 = 1^2 + 10^2
101^2 = 20^2 + 99^2
101 divides 100^2 - 1.
101 = (11 − 1)(1+1) + 1
101 = 2222/22
101 = 3 + 3 × 33 − 3/3
101 = 5 × (5 × 5 − 5) + 5/5
101 = 4444/44
101 = 5 × (5 × 5 − 5) + 5/5
101 = 66 + 6 × 6 − 6/6
101 = 7777/77
101 = 8888/88
101 = 99 + (9 + 9)/9
101 = 1^1 + 2^6 + 6^2
101 = 5! - 4! + 3! - 2! + 1!
Prime of the form x^2+101y^2.
Strobogrammatic number: the same upside down.
Canyon number
Prime whose binary representation is also the decimal representation of a prime.
Factors: 1, 101
One hundred one
Representations, Binary to Hexadecimal:
1100101_2
10202_3
1211_4
401_5
245_6
203_7
145_8
122_9
92_11
85_12
7a_13
73_14
6b_15
65_16
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics

