10102211129 has 2 divisors, whose sum is σ = 10102211130. Its totient is φ = 10102211128.

The previous prime is 10102211117. The next prime is 10102211143. The reversal of 10102211129 is 92111220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5829627904 + 4272583225 = 76352^2 + 65365^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102211129 - 2²⁸ = 9833775673 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102211129.

It is not a weakly prime, because it can be changed into another prime (10102211029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051105564 + 5051105565.

It is an arithmetic number, because the mean of its divisors is an integer number (5051105565).

Almost surely, 2^10102211129 is an apocalyptic number.

It is an amenable number.

10102211129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102211129 is an equidigital number, since it uses as much as digits as its factorization.

10102211129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 10102211129 in words is "ten billion, one hundred two million, two hundred eleven thousand, one hundred twenty-nine".