10200110000200 has 48 divisors (see below), whose sum is σ = 25110270802980. Its totient is φ = 3840041410560.

The previous prime is 10200110000147. The next prime is 10200110000243. The reversal of 10200110000200 is 200001100201.

10200110000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4019327290276 + 6180782709924 = 2004826^2 + 2486118^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1500012777 + ... + 1500019576.

Almost surely, 2^{10200110000200} is an apocalyptic number.

10200110000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200110000200 is an abundant number, since it is smaller than the sum of its proper divisors (14910160802780).

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

10200110000200 is a wasteful number, since it uses less digits than its factorization.

10200110000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000032386 (or 3000032377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10200110000200 its reverse (200001100201), we get a palindrome (10400111100401).

The spelling of 10200110000200 in words is "ten trillion, two hundred billion, one hundred ten million, two hundred", and thus it is an aban number.