100100009101 has 8 divisors (see below), whose sum is σ = 102257808480. Its totient is φ = 97952177232.

The previous prime is 100100009033. The next prime is 100100009159. The reversal of 100100009101 is 101900001001.

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 100100009101 - 2²⁵ = 100066454669 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 (100100109101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2471575 + ... + 2511748.

It is an arithmetic number, because the mean of its divisors is an integer number (12782226060).

Almost surely, 2^100100009101 is an apocalyptic number.

It is an amenable number.

100100009101 is a deficient number, since it is larger than the sum of its proper divisors (2157799379).

100100009101 is an equidigital number, since it uses as much as digits as its factorization.

100100009101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983755.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 100100009101 in words is "one hundred billion, one hundred million, nine thousand, one hundred one".