100110100000032 has 72 divisors (see below), whose sum is σ = 284689427742720. Its totient is φ = 33369877334400.

The previous prime is 100110099999989. The next prime is 100110100000033. The reversal of 100110100000032 is 230000001011001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100110100000033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72304657 + ... + 73676207.

It is an arithmetic number, because the mean of its divisors is an integer number (3954019829760).

Almost surely, 2^{100110100000032} is an apocalyptic number.

100110100000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100110100000032 is an abundant number, since it is smaller than the sum of its proper divisors (184579327742688).

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

100110100000032 is a wasteful number, since it uses less digits than its factorization.

100110100000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625006 (or 1624995 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 100110100000032 its reverse (230000001011001), we get a palindrome (330110101011033).

The spelling of 100110100000032 in words is "one hundred trillion, one hundred ten billion, one hundred million, thirty-two", and thus it is an aban number.