10120120200 has 288 divisors, whose sum is σ = 35021586600. Its totient is φ = 2617344000.

The previous prime is 10120120181. The next prime is 10120120217. The reversal of 10120120200 is 202102101.

It can be written as a sum of positive squares in 12 ways, for example, as 69255684 + 10050864516 = 8322^2 + 100254^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17785516 + ... + 17786084.

Almost surely, 2^10120120200 is an apocalyptic number.

10120120200 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 10120120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17510793300).

10120120200 is an abundant number, since it is smaller than the sum of its proper divisors (24901466400).

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

10120120200 is a wasteful number, since it uses less digits than its factorization.

10120120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10120120200 its reverse (202102101), we get a palindrome (10322222301).

The spelling of 10120120200 in words is "ten billion, one hundred twenty million, one hundred twenty thousand, two hundred".