10100091910091 has 8 divisors (see below), whose sum is σ = 10128900413520. Its totient is φ = 10071305804032.

The previous prime is 10100091910019. The next prime is 10100091910109. The reversal of 10100091910091 is 19001919000101.

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 10100091910091 - 2²⁶ = 10100024801227 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100091930091) 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, 4695950 + ... + 6500163.

It is an arithmetic number, because the mean of its divisors is an integer number (1266112551690).

Almost surely, 2^{10100091910091} is an apocalyptic number.

10100091910091 is a deficient number, since it is larger than the sum of its proper divisors (28808503429).

10100091910091 is a wasteful number, since it uses less digits than its factorization.

10100091910091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11198685.

The product of its (nonzero) digits is 729, while the sum is 32.

The spelling of 10100091910091 in words is "ten trillion, one hundred billion, ninety-one million, nine hundred ten thousand, ninety-one".