123020113020100 has 144 divisors (see below), whose sum is σ = 270670873611600. Its totient is φ = 48525885112320.

The previous prime is 123020113020067. The next prime is 123020113020157. The reversal of 123020113020100 is 1020311020321.

It can be written as a sum of positive squares in 24 ways, for example, as 41220714352896 + 81799398667204 = 6420336^2 + 9044302^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10611579904 + ... + 10611591496.

It is an arithmetic number, because the mean of its divisors is an integer number (1879658844525).

Almost surely, 2^{123020113020100} is an apocalyptic number.

123020113020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123020113020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135335436805800).

123020113020100 is an abundant number, since it is smaller than the sum of its proper divisors (147650760591500).

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

123020113020100 is a wasteful number, since it uses less digits than its factorization.

123020113020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14762 (or 14755 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 123020113020100 its reverse (1020311020321), we get a palindrome (124040424040421).

The spelling of 123020113020100 in words is "one hundred twenty-three trillion, twenty billion, one hundred thirteen million, twenty thousand, one hundred".