123233102100 has 108 divisors (see below), whose sum is σ = 386336119260. Its totient is φ = 32856307200.

The previous prime is 123233102081. The next prime is 123233102101. The reversal of 123233102100 is 1201332321.

123233102100 is a `hidden beast` number, since 1 + 232 + 331 + 0 + 2 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 23677956 + 123209424144 = 4866^2 + 351012^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123233102101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 7877086 + ... + 7892714.

Almost surely, 2^123233102100 is an apocalyptic number.

123233102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123233102100 is an abundant number, since it is smaller than the sum of its proper divisors (263103017160).

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

123233102100 is a wasteful number, since it uses less digits than its factorization.

123233102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24410 (or 24400 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123233102100 its reverse (1201332321), we get a palindrome (124434434421).

The spelling of 123233102100 in words is "one hundred twenty-three billion, two hundred thirty-three million, one hundred two thousand, one hundred".