101022013323231 has 128 divisors (see below), whose sum is σ = 181302233333760. Its totient is φ = 48321259084800.

The previous prime is 101022013323181. The next prime is 101022013323239. The reversal of 101022013323231 is 132323310220101.

It is not a de Polignac number, because 101022013323231 - 2³¹ = 101019865839583 is a prime.

It is a super-2 number, since 2×101022013323231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022013323239) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2852180640 + ... + 2852216058.

It is an arithmetic number, because the mean of its divisors is an integer number (1416423697920).

Almost surely, 2^{101022013323231} is an apocalyptic number.

101022013323231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101022013323231 is a deficient number, since it is larger than the sum of its proper divisors (80280220010529).

101022013323231 is a wasteful number, since it uses less digits than its factorization.

101022013323231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37797.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 101022013323231 its reverse (132323310220101), we get a palindrome (233345323543332).

The spelling of 101022013323231 in words is "one hundred one trillion, twenty-two billion, thirteen million, three hundred twenty-three thousand, two hundred thirty-one".