100200121100199 has 24 divisors (see below), whose sum is σ = 155592573277440. Its totient is φ = 61937812813968.

The previous prime is 100200121100153. The next prime is 100200121100311. The reversal of 100200121100199 is 991001121002001.

It is not a de Polignac number, because 100200121100199 - 2³⁷ = 100062682146727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200121100899) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6233668777 + ... + 6233684850.

It is an arithmetic number, because the mean of its divisors is an integer number (6483023886560).

Almost surely, 2^{100200121100199} is an apocalyptic number.

100200121100199 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

100200121100199 is a deficient number, since it is larger than the sum of its proper divisors (55392452177241).

100200121100199 is a wasteful number, since it uses less digits than its factorization.

100200121100199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12467353699 (or 12467353696 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 100200121100199 in words is "one hundred trillion, two hundred billion, one hundred twenty-one million, one hundred thousand, one hundred ninety-nine".