100233102000 has 80 divisors (see below), whose sum is σ = 323151540192. Its totient is φ = 26728825600.

The previous prime is 100233101993. The next prime is 100233102017. The reversal of 100233102000 is 201332001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8346759 + ... + 8358758.

Almost surely, 2^100233102000 is an apocalyptic number.

100233102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100233102000 is an abundant number, since it is smaller than the sum of its proper divisors (222918438192).

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

100233102000 is a wasteful number, since it uses less digits than its factorization.

100233102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16705543 (or 16705527 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100233102000 its reverse (201332001), we get a palindrome (100434434001).

The spelling of 100233102000 in words is "one hundred billion, two hundred thirty-three million, one hundred two thousand".