10101220031 has 16 divisors (see below), whose sum is σ = 11775103488. Its totient is φ = 8486056800.

The previous prime is 10101220013. The next prime is 10101220043. The reversal of 10101220031 is 13002210101.

10101220031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10101220031 - 2¹⁴ = 10101203647 is a prime.

It is a super-2 number, since 2×10101220031² (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 = 10101219994 and 10101220021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101222031) 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 in 15 ways as a sum of consecutive naturals, for example, 79046 + ... + 162636.

It is an arithmetic number, because the mean of its divisors is an integer number (735943968).

Almost surely, 2^10101220031 is an apocalyptic number.

10101220031 is a deficient number, since it is larger than the sum of its proper divisors (1673883457).

10101220031 is an equidigital number, since it uses as much as digits as its factorization.

10101220031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83942.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10101220031 its reverse (13002210101), we get a palindrome (23103430132).

The spelling of 10101220031 in words is "ten billion, one hundred one million, two hundred twenty thousand, thirty-one".