100910011000 has 64 divisors (see below), whose sum is σ = 250019434080. Its totient is φ = 37989644800.

The previous prime is 100910010997. The next prime is 100910011001. The reversal of 100910011000 is 110019001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100910011001) 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, 2950942 + ... + 2984941.

Almost surely, 2^100910011000 is an apocalyptic number.

100910011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100910011000 is an abundant number, since it is smaller than the sum of its proper divisors (149109423080).

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

100910011000 is a wasteful number, since it uses less digits than its factorization.

100910011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935921 (or 5935907 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

It can be divided in two parts, 1009100 and 11000, that added together give a square (1020100 = 1010²).

The spelling of 100910011000 in words is "one hundred billion, nine hundred ten million, eleven thousand".