100201058893 has 8 divisors (see below), whose sum is σ = 107915673600. Its totient is φ = 92487421488.

The previous prime is 100201058863. The next prime is 100201058897. The reversal of 100201058893 is 398850102001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201058893 - 2³³ = 91611124301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201058897) 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 7 ways as a sum of consecutive naturals, for example, 24013 + ... + 448306.

It is an arithmetic number, because the mean of its divisors is an integer number (13489459200).

Almost surely, 2^100201058893 is an apocalyptic number.

100201058893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100201058893 is a deficient number, since it is larger than the sum of its proper divisors (7714614707).

100201058893 is a wasteful number, since it uses less digits than its factorization.

100201058893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488651.

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 100201058893 in words is "one hundred billion, two hundred one million, fifty-eight thousand, eight hundred ninety-three".