101123133120 has 84 divisors (see below), whose sum is σ = 347821453200. Its totient is φ = 26966168064.

The previous prime is 101123133109. The next prime is 101123133157. The reversal of 101123133120 is 21331321101.

101123133120 is a `hidden beast` number, since 101 + 1 + 231 + 331 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101123133093 and 101123133102.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17553220 + ... + 17558979.

Almost surely, 2^101123133120 is an apocalyptic number.

101123133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101123133120 is an abundant number, since it is smaller than the sum of its proper divisors (246698320080).

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

101123133120 is a wasteful number, since it uses less digits than its factorization.

101123133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35112222 (or 35112209 counting only the distinct ones).

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

Adding to 101123133120 its reverse (21331321101), we get a palindrome (122454454221).

The spelling of 101123133120 in words is "one hundred one billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred twenty".