10200113200000 has 96 divisors (see below), whose sum is σ = 25399047872520. Its totient is φ = 4080045120000.

The previous prime is 10200113199977. The next prime is 10200113200001. The reversal of 10200113200000 is 231100201.

10200113200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10200113200000⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10200113200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200113200001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12350142 + ... + 13150141.

Almost surely, 2^{10200113200000} is an apocalyptic number.

10200113200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200113200000 is an abundant number, since it is smaller than the sum of its proper divisors (15198934672520).

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

10200113200000 is an frugal number, since it uses more digits than its factorization.

10200113200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25500322 (or 25500290 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10200113200000 its reverse (231100201), we get a palindrome (10200344300201).

The spelling of 10200113200000 in words is "ten trillion, two hundred billion, one hundred thirteen million, two hundred thousand".