10111021112031 has 16 divisors (see below), whose sum is σ = 15436842778368. Its totient is φ = 5766636657600.

The previous prime is 10111021112009. The next prime is 10111021112063. The reversal of 10111021112031 is 13021112011101.

It is not a de Polignac number, because 10111021112031 - 2¹³ = 10111021103839 is a prime.

It is a super-2 number, since 2×10111021112031² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10111021112031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111021112831) 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, 462059305 + ... + 462081186.

It is an arithmetic number, because the mean of its divisors is an integer number (964802673648).

Almost surely, 2^{10111021112031} is an apocalyptic number.

10111021112031 is a deficient number, since it is larger than the sum of its proper divisors (5325821666337).

10111021112031 is an equidigital number, since it uses as much as digits as its factorization.

10111021112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924141022.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 10111021112031 its reverse (13021112011101), we get a palindrome (23132133123132).

The spelling of 10111021112031 in words is "ten trillion, one hundred eleven billion, twenty-one million, one hundred twelve thousand, thirty-one".