10100100011129 has 2 divisors, whose sum is σ = 10100100011130. Its totient is φ = 10100100011128.

The previous prime is 10100100011119. The next prime is 10100100011279. The reversal of 10100100011129 is 92111000100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8383601748025 + 1716498263104 = 2895445^2 + 1310152^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100100011129 - 2²⁴ = 10100083233913 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10100100011119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050005564 + 5050050005565.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050005565).

Almost surely, 2^{10100100011129} is an apocalyptic number.

It is an amenable number.

10100100011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100100011129 is an equidigital number, since it uses as much as digits as its factorization.

10100100011129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 10100100011129 in words is "ten trillion, one hundred billion, one hundred million, eleven thousand, one hundred twenty-nine".