10091910919101 has 16 divisors (see below), whose sum is σ = 14684114222400. Its totient is φ = 6114238369920.

The previous prime is 10091910919021. The next prime is 10091910919133. The reversal of 10091910919101 is 10191901919001.

It is not a de Polignac number, because 10091910919101 - 2²⁵ = 10091877364669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10091910919001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51683026 + ... + 51877923.

It is an arithmetic number, because the mean of its divisors is an integer number (917757138900).

Almost surely, 2^{10091910919101} is an apocalyptic number.

10091910919101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10091910919101 is a deficient number, since it is larger than the sum of its proper divisors (4592203303299).

10091910919101 is a wasteful number, since it uses less digits than its factorization.

10091910919101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103563916.

The product of its (nonzero) digits is 6561, while the sum is 42.

It can be divided in two parts, 10091910 and 919101, that added together give a palindrome (11011011).

The spelling of 10091910919101 in words is "ten trillion, ninety-one billion, nine hundred ten million, nine hundred nineteen thousand, one hundred one".