100938098821 has 8 divisors (see below), whose sum is σ = 118040567744. Its totient is φ = 84506315040.

The previous prime is 100938098761. The next prime is 100938098851. The reversal of 100938098821 is 128890839001.

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

It is not a de Polignac number, because 100938098821 - 2²³ = 100929710213 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 (100938098851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167670960 + ... + 167671561.

It is an arithmetic number, because the mean of its divisors is an integer number (14755070968).

Almost surely, 2^100938098821 is an apocalyptic number.

It is an amenable number.

100938098821 is a deficient number, since it is larger than the sum of its proper divisors (17102468923).

100938098821 is an equidigital number, since it uses as much as digits as its factorization.

100938098821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335342571.

The product of its (nonzero) digits is 248832, while the sum is 49.

The spelling of 100938098821 in words is "one hundred billion, nine hundred thirty-eight million, ninety-eight thousand, eight hundred twenty-one".