10191909101000 has 64 divisors (see below), whose sum is σ = 26017164351360. Its totient is φ = 3706148760000.

The previous prime is 10191909100921. The next prime is 10191909101027. The reversal of 10191909101000 is 10190919101.

It is a super-2 number, since 2×10191909101000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463257596 + ... + 463279595.

It is an arithmetic number, because the mean of its divisors is an integer number (406518192990).

Almost surely, 2^{10191909101000} is an apocalyptic number.

10191909101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10191909101000 is an abundant number, since it is smaller than the sum of its proper divisors (15825255250360).

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

10191909101000 is a wasteful number, since it uses less digits than its factorization.

10191909101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926537223 (or 926537209 counting only the distinct ones).

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

The spelling of 10191909101000 in words is "ten trillion, one hundred ninety-one billion, nine hundred nine million, one hundred one thousand".