123210222000100 has 81 divisors (see below), whose sum is σ = 269185163626953. Its totient is φ = 48951044100000.

The previous prime is 123210222000083. The next prime is 123210222000113. The reversal of 123210222000100 is 1000222012321.

It is a happy number.

The square root of 123210222000100 is 11100010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 44355679920036 + 78854542080064 = 6660006^2 + 8880008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16761011425 + ... + 16761018775.

Almost surely, 2^{123210222000100} is an apocalyptic number.

123210222000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123210222000100 is the 11100010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123210222000100

123210222000100 is an abundant number, since it is smaller than the sum of its proper divisors (145974941626853).

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

123210222000100 is an frugal number, since it uses more digits than its factorization.

123210222000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15018 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 123210222000100 its reverse (1000222012321), we get a palindrome (124210444012421).

The spelling of 123210222000100 in words is "one hundred twenty-three trillion, two hundred ten billion, two hundred twenty-two million, one hundred", and thus it is an aban number.