101022113331 has 32 divisors (see below), whose sum is σ = 158816448000. Its totient is φ = 63328012704.

The previous prime is 101022113323. The next prime is 101022113333. The reversal of 101022113331 is 133311220101.

101022113331 is a `hidden beast` number, since 101 + 0 + 221 + 13 + 331 = 666.

It is not a de Polignac number, because 101022113331 - 2³ = 101022113323 is a prime.

It is a super-2 number, since 2×101022113331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101022113333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1341976 + ... + 1415253.

It is an arithmetic number, because the mean of its divisors is an integer number (4963014000).

Almost surely, 2^101022113331 is an apocalyptic number.

101022113331 is a deficient number, since it is larger than the sum of its proper divisors (57794334669).

101022113331 is a wasteful number, since it uses less digits than its factorization.

101022113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757320 (or 2757314 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101022113331 its reverse (133311220101), we get a palindrome (234333333432).

The spelling of 101022113331 in words is "one hundred one billion, twenty-two million, one hundred thirteen thousand, three hundred thirty-one".