100133123231020 has 48 divisors (see below), whose sum is σ = 241469349811200. Its totient is φ = 34495621398720.

The previous prime is 100133123231003. The next prime is 100133123231021. The reversal of 100133123231020 is 20132321331001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100133123230982 and 100133123231000.

It is not an unprimeable number, because it can be changed into a prime (100133123231021) 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 15 ways as a sum of consecutive naturals, for example, 11977642140 + ... + 11977650499.

It is an arithmetic number, because the mean of its divisors is an integer number (5030611454400).

Almost surely, 2^{100133123231020} is an apocalyptic number.

100133123231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133123231020 is an abundant number, since it is smaller than the sum of its proper divisors (141336226580180).

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

100133123231020 is a wasteful number, since it uses less digits than its factorization.

100133123231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23955292678 (or 23955292676 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100133123231020 its reverse (20132321331001), we get a palindrome (120265444562021).

The spelling of 100133123231020 in words is "one hundred trillion, one hundred thirty-three billion, one hundred twenty-three million, two hundred thirty-one thousand, twenty".