10010100031 has 2 divisors, whose sum is σ = 10010100032. Its totient is φ = 10010100030.

The previous prime is 10010100019. The next prime is 10010100041. The reversal of 10010100031 is 13000101001.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10010100031 - 2⁵ = 10010099999 is a prime.

It is a super-2 number, since 2×10010100031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010099987 and 10010100023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010100041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005050015 + 5005050016.

It is an arithmetic number, because the mean of its divisors is an integer number (5005050016).

Almost surely, 2^10010100031 is an apocalyptic number.

10010100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010100031 is an equidigital number, since it uses as much as digits as its factorization.

10010100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 10010100031 its reverse (13000101001), we get a palindrome (23010201032).

The spelling of 10010100031 in words is "ten billion, ten million, one hundred thousand, thirty-one".