100800991810998 has 64 divisors (see below), whose sum is σ = 231140605026240. Its totient is φ = 32541534259200.

The previous prime is 100800991810997. The next prime is 100800991811011. The reversal of 100800991810998 is 899018199008001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100800991810997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165860563 + ... + 166467198.

It is an arithmetic number, because the mean of its divisors is an integer number (3611571953535).

Almost surely, 2^{100800991810998} is an apocalyptic number.

100800991810998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100800991810998 is an abundant number, since it is smaller than the sum of its proper divisors (130339613215242).

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

100800991810998 is a wasteful number, since it uses less digits than its factorization.

100800991810998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332327950 (or 332327944 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 63.

The spelling of 100800991810998 in words is "one hundred trillion, eight hundred billion, nine hundred ninety-one million, eight hundred ten thousand, nine hundred ninety-eight".