100909101031 has 2 divisors, whose sum is σ = 100909101032. Its totient is φ = 100909101030.

The previous prime is 100909100993. The next prime is 100909101071. The reversal of 100909101031 is 130101909001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100909101031 - 2¹⁵ = 100909068263 is a prime.

It is a super-2 number, since 2×100909101031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100909100987 and 100909101005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100909101071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50454550515 + 50454550516.

It is an arithmetic number, because the mean of its divisors is an integer number (50454550516).

Almost surely, 2^100909101031 is an apocalyptic number.

100909101031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100909101031 is an equidigital number, since it uses as much as digits as its factorization.

100909101031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 25.

The spelling of 100909101031 in words is "one hundred billion, nine hundred nine million, one hundred one thousand, thirty-one".