10010111011129 has 2 divisors, whose sum is σ = 10010111011130. Its totient is φ = 10010111011128.

The previous prime is 10010111011099. The next prime is 10010111011133. The reversal of 10010111011129 is 92111011101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7003840511529 + 3006270499600 = 2646477^2 + 1733860^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010111011129 - 2⁵ = 10010111011097 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010111011169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005055505564 + 5005055505565.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055505565).

Almost surely, 2^{10010111011129} is an apocalyptic number.

It is an amenable number.

10010111011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010111011129 is an equidigital number, since it uses as much as digits as its factorization.

10010111011129 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 19.

The spelling of 10010111011129 in words is "ten trillion, ten billion, one hundred eleven million, eleven thousand, one hundred twenty-nine".