101111000111129 has 2 divisors, whose sum is σ = 101111000111130. Its totient is φ = 101111000111128.

The previous prime is 101111000110997. The next prime is 101111000111197. The reversal of 101111000111129 is 921111000111101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95814281979529 + 5296718131600 = 9788477^2 + 2301460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111000111129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101111000111129.

It is not a weakly prime, because it can be changed into another prime (101111000111729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500055564 + 50555500055565.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500055565).

Almost surely, 2^{101111000111129} is an apocalyptic number.

It is an amenable number.

101111000111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111000111129 is an equidigital number, since it uses as much as digits as its factorization.

101111000111129 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 20.

The spelling of 101111000111129 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven thousand, one hundred twenty-nine".