100919091001 has 8 divisors (see below), whose sum is σ = 101595340800. Its totient is φ = 100242945600.

The previous prime is 100919090977. The next prime is 100919091011. The reversal of 100919091001 is 100190919001.

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 100919091001 - 2⁵ = 100919090969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100919091011) 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, 3464385 + ... + 3493393.

It is an arithmetic number, because the mean of its divisors is an integer number (12699417600).

Almost surely, 2^100919091001 is an apocalyptic number.

It is an amenable number.

100919091001 is a deficient number, since it is larger than the sum of its proper divisors (676249799).

100919091001 is a wasteful number, since it uses less digits than its factorization.

100919091001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52199.

The product of its (nonzero) digits is 729, while the sum is 31.

The spelling of 100919091001 in words is "one hundred billion, nine hundred nineteen million, ninety-one thousand, one".