10102011031 has 16 divisors (see below), whose sum is σ = 12342979584. Its totient is φ = 8070390144.

The previous prime is 10102011001. The next prime is 10102011037. The reversal of 10102011031 is 13011020101.

It is not a de Polignac number, because 10102011031 - 2¹⁷ = 10101879959 is a prime.

It is a super-2 number, since 2×10102011031² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102010999 and 10102011017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102011037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399835 + ... + 424348.

It is an arithmetic number, because the mean of its divisors is an integer number (771436224).

Almost surely, 2^10102011031 is an apocalyptic number.

10102011031 is a deficient number, since it is larger than the sum of its proper divisors (2240968553).

10102011031 is a wasteful number, since it uses less digits than its factorization.

10102011031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824310.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10102011031 its reverse (13011020101), we get a palindrome (23113031132).

The spelling of 10102011031 in words is "ten billion, one hundred two million, eleven thousand, thirty-one".