100010101031 has 2 divisors, whose sum is σ = 100010101032. Its totient is φ = 100010101030.

The previous prime is 100010101027. The next prime is 100010101063. The reversal of 100010101031 is 130101010001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100010101031 - 2² = 100010101027 is a prime.

It is a super-2 number, since 2×100010101031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010101231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050515 + 50005050516.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050516).

Almost surely, 2^100010101031 is an apocalyptic number.

100010101031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010101031 is an equidigital number, since it uses as much as digits as its factorization.

100010101031 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 8.

Adding to 100010101031 its reverse (130101010001), we get a palindrome (230111111032).

The spelling of 100010101031 in words is "one hundred billion, ten million, one hundred one thousand, thirty-one".