10120779900 has 576 divisors, whose sum is σ = 41134033920. Its totient is φ = 2099520000.

The previous prime is 10120779899. The next prime is 10120779917. The reversal of 10120779900 is 997702101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16839600 + ... + 16840200.

Almost surely, 2^10120779900 is an apocalyptic number.

10120779900 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 10120779900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20567016960).

10120779900 is an abundant number, since it is smaller than the sum of its proper divisors (31013254020).

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

10120779900 is a wasteful number, since it uses less digits than its factorization.

10120779900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 10120779900 in words is "ten billion, one hundred twenty million, seven hundred seventy-nine thousand, nine hundred".