123202320100 has 72 divisors (see below), whose sum is σ = 283790039400. Its totient is φ = 46264965120.

The previous prime is 123202320089. The next prime is 123202320113. The reversal of 123202320100 is 1023202321.

123202320100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5686366464 + 117515953636 = 75408^2 + 342806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583626 + ... + 766174.

It is an arithmetic number, because the mean of its divisors is an integer number (3941528325).

Almost surely, 2^123202320100 is an apocalyptic number.

123202320100 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 123202320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141895019700).

123202320100 is an abundant number, since it is smaller than the sum of its proper divisors (160587719300).

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

123202320100 is a wasteful number, since it uses less digits than its factorization.

123202320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182977 (or 182970 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 123202320100 its reverse (1023202321), we get a palindrome (124225522421).

The spelling of 123202320100 in words is "one hundred twenty-three billion, two hundred two million, three hundred twenty thousand, one hundred".