10100100900 has 144 divisors (see below), whose sum is σ = 30114392000. Its totient is φ = 2611699200.

The previous prime is 10100100859. The next prime is 10100100919. The reversal of 10100100900 is 900100101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3672726 + ... + 3675474.

Almost surely, 2^10100100900 is an apocalyptic number.

10100100900 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 10100100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057196000).

10100100900 is an abundant number, since it is smaller than the sum of its proper divisors (20014291100).

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

10100100900 is a wasteful number, since it uses less digits than its factorization.

10100100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 10100100900 in words is "ten billion, one hundred million, one hundred thousand, nine hundred".