10120020900 has 144 divisors (see below), whose sum is σ = 32302307520. Its totient is φ = 2425702400.

The previous prime is 10120020893. The next prime is 10120020919. The reversal of 10120020900 is 902002101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120020900.

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, 276472 + ... + 310928.

It is an arithmetic number, because the mean of its divisors is an integer number (224321580).

Almost surely, 2^10120020900 is an apocalyptic number.

10120020900 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 10120020900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151153760).

10120020900 is an abundant number, since it is smaller than the sum of its proper divisors (22182286620).

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

10120020900 is a wasteful number, since it uses less digits than its factorization.

10120020900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34574 (or 34567 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 10120020900 in words is "ten billion, one hundred twenty million, twenty thousand, nine hundred".