100100123232 has 96 divisors (see below), whose sum is σ = 275606779392. Its totient is φ = 31774109184.

The previous prime is 100100123213. The next prime is 100100123239. The reversal of 100100123232 is 232321001001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100100123232² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100123239) by changing a digit.

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, 132858 + ... + 466745.

It is an arithmetic number, because the mean of its divisors is an integer number (2870903952).

Almost surely, 2^100100123232 is an apocalyptic number.

100100123232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100100123232 is an abundant number, since it is smaller than the sum of its proper divisors (175506656160).

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

100100123232 is a wasteful number, since it uses less digits than its factorization.

100100123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599700 (or 599692 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100100123232 its reverse (232321001001), we get a palindrome (332421124233).

It can be divided in two parts, 1001001 and 23232, that multiplied together give a palindrome (23255255232).

The spelling of 100100123232 in words is "one hundred billion, one hundred million, one hundred twenty-three thousand, two hundred thirty-two".