10100022031 has 16 divisors (see below), whose sum is σ = 11750296320. Its totient is φ = 8579537280.

The previous prime is 10100022017. The next prime is 10100022061. The reversal of 10100022031 is 13022000101.

It is a cyclic number.

It is not a de Polignac number, because 10100022031 - 2¹⁹ = 10099497743 is a prime.

It is a super-2 number, since 2×10100022031² (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 = 10100021999 and 10100022017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100022061) 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, 168291 + ... + 220276.

It is an arithmetic number, because the mean of its divisors is an integer number (734393520).

Almost surely, 2^10100022031 is an apocalyptic number.

10100022031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100022031 is a deficient number, since it is larger than the sum of its proper divisors (1650274289).

10100022031 is a wasteful number, since it uses less digits than its factorization.

10100022031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388734.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10100022031 its reverse (13022000101), we get a palindrome (23122022132).

The spelling of 10100022031 in words is "ten billion, one hundred million, twenty-two thousand, thirty-one".