10100910100091 has 8 divisors (see below), whose sum is σ = 10316197938240. Its totient is φ = 9885637881088.

The previous prime is 10100910100051. The next prime is 10100910100093. The reversal of 10100910100091 is 19000101900101.

It is a happy number.

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 10100910100091 - 2¹⁰ = 10100910099067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100910100093) 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, 2592956 + ... + 5188953.

It is an arithmetic number, because the mean of its divisors is an integer number (1289524742280).

Almost surely, 2^{10100910100091} is an apocalyptic number.

10100910100091 is a deficient number, since it is larger than the sum of its proper divisors (215287838149).

10100910100091 is an equidigital number, since it uses as much as digits as its factorization.

10100910100091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7809573.

The product of its (nonzero) digits is 81, while the sum is 23.

The spelling of 10100910100091 in words is "ten trillion, one hundred billion, nine hundred ten million, one hundred thousand, ninety-one".