10091909100100 has 72 divisors (see below), whose sum is σ = 22046188953600. Its totient is φ = 4009717824000.

The previous prime is 10091909099969. The next prime is 10091909100131. The reversal of 10091909100100 is 100190919001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347874396 + ... + 347903404.

It is an arithmetic number, because the mean of its divisors is an integer number (306197068800).

Almost surely, 2^{10091909100100} is an apocalyptic number.

10091909100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10091909100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11023094476800).

10091909100100 is an abundant number, since it is smaller than the sum of its proper divisors (11954279853500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10091909100100 is a wasteful number, since it uses less digits than its factorization.

10091909100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52213 (or 52206 counting only the distinct ones).

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

The spelling of 10091909100100 in words is "ten trillion, ninety-one billion, nine hundred nine million, one hundred thousand, one hundred".