101111201129 has 2 divisors, whose sum is σ = 101111201130. Its totient is φ = 101111201128.

The previous prime is 101111201111. The next prime is 101111201159. The reversal of 101111201129 is 921102111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57961525504 + 43149675625 = 240752^2 + 207725^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101111201129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101111201129.

It is not a weakly prime, because it can be changed into another prime (101111201159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555600564 + 50555600565.

It is an arithmetic number, because the mean of its divisors is an integer number (50555600565).

Almost surely, 2^101111201129 is an apocalyptic number.

It is an amenable number.

101111201129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111201129 is an equidigital number, since it uses as much as digits as its factorization.

101111201129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 101111201129 in words is "one hundred one billion, one hundred eleven million, two hundred one thousand, one hundred twenty-nine".