123122100100 has 18 divisors (see below), whose sum is σ = 267174957434. Its totient is φ = 49248840000.

The previous prime is 123122100071. The next prime is 123122100149. The reversal of 123122100100 is 1001221321.

It can be written as a sum of positive squares in 3 ways, for example, as 497468416 + 122624631684 = 22304^2 + 350178^2 .

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 5 ways as a sum of consecutive naturals, for example, 615610401 + ... + 615610600.

Almost surely, 2^123122100100 is an apocalyptic number.

123122100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123122100100 is an abundant number, since it is smaller than the sum of its proper divisors (144052857334).

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

123122100100 is a wasteful number, since it uses less digits than its factorization.

123122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231221015 (or 1231221008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 123122100100 its reverse (1001221321), we get a palindrome (124123321421).

The spelling of 123122100100 in words is "one hundred twenty-three billion, one hundred twenty-two million, one hundred thousand, one hundred".