100022033129 has 2 divisors, whose sum is σ = 100022033130. Its totient is φ = 100022033128.

The previous prime is 100022033087. The next prime is 100022033149. The reversal of 100022033129 is 921330220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80512927504 + 19509105625 = 283748^2 + 139675^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022033129 - 2³⁶ = 31302556393 is a prime.

It is a super-2 number, since 2×100022033129² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100022033149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011016564 + 50011016565.

It is an arithmetic number, because the mean of its divisors is an integer number (50011016565).

Almost surely, 2^100022033129 is an apocalyptic number.

It is an amenable number.

100022033129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022033129 is an equidigital number, since it uses as much as digits as its factorization.

100022033129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 100022033129 in words is "one hundred billion, twenty-two million, thirty-three thousand, one hundred twenty-nine".