101000001931 has 2 divisors, whose sum is σ = 101000001932. Its totient is φ = 101000001930.

The previous prime is 101000001853. The next prime is 101000001943. The reversal of 101000001931 is 139100000101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101000001931 - 2⁷ = 101000001803 is a prime.

It is a super-2 number, since 2×101000001931² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101000001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000965 + 50500000966.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000966).

Almost surely, 2^101000001931 is an apocalyptic number.

101000001931 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001931 is an equidigital number, since it uses as much as digits as its factorization.

101000001931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

The spelling of 101000001931 in words is "one hundred one billion, one thousand, nine hundred thirty-one".