101332222222120 has 128 divisors (see below), whose sum is σ = 231056734003200. Its totient is φ = 39992669208576.

The previous prime is 101332222222073. The next prime is 101332222222123. The reversal of 101332222222120 is 21222222233101.

It is a super-2 number, since 2×101332222222120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101332222222123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459958117 + ... + 3459987403.

It is an arithmetic number, because the mean of its divisors is an integer number (1805130734400).

Almost surely, 2^{101332222222120} is an apocalyptic number.

101332222222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101332222222120 is an abundant number, since it is smaller than the sum of its proper divisors (129724511781080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101332222222120 is a wasteful number, since it uses less digits than its factorization.

101332222222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33147 (or 33143 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 101332222222120 its reverse (21222222233101), we get a palindrome (122554444455221).

The spelling of 101332222222120 in words is "one hundred one trillion, three hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".