10100919100 has 72 divisors (see below), whose sum is σ = 22850787456. Its totient is φ = 3871200000.

The previous prime is 10100919083. The next prime is 10100919113. The reversal of 10100919100 is 191900101.

10100919100 is a modest number, since divided by 919100 gives 10100 as remainder.

It is a congruent number.

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, 296970 + ... + 329230.

It is an arithmetic number, because the mean of its divisors is an integer number (317372048).

Almost surely, 2^10100919100 is an apocalyptic number.

10100919100 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 10100919100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11425393728).

10100919100 is an abundant number, since it is smaller than the sum of its proper divisors (12749868356).

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

10100919100 is a wasteful number, since it uses less digits than its factorization.

10100919100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32407 (or 32400 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 10100919100 in words is "ten billion, one hundred million, nine hundred nineteen thousand, one hundred".