100819725931 has 2 divisors, whose sum is σ = 100819725932. Its totient is φ = 100819725930.

The previous prime is 100819725899. The next prime is 100819725947. The reversal of 100819725931 is 139527918001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100819725931 - 2⁵ = 100819725899 is a prime.

It is a super-2 number, since 2×100819725931² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100819725971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50409862965 + 50409862966.

It is an arithmetic number, because the mean of its divisors is an integer number (50409862966).

Almost surely, 2^100819725931 is an apocalyptic number.

100819725931 is a deficient number, since it is larger than the sum of its proper divisors (1).

100819725931 is an equidigital number, since it uses as much as digits as its factorization.

100819725931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 46.

The spelling of 100819725931 in words is "one hundred billion, eight hundred nineteen million, seven hundred twenty-five thousand, nine hundred thirty-one".