10010200200112 has 80 divisors (see below), whose sum is σ = 22498099965952. Its totient is φ = 4225711057920.

The previous prime is 10010200200083. The next prime is 10010200200131. The reversal of 10010200200112 is 21100200201001.

10010200200112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106081912 + ... + 106176232.

Almost surely, 2^{10010200200112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010200200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249049982976).

10010200200112 is an abundant number, since it is smaller than the sum of its proper divisors (12487899765840).

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

10010200200112 is a wasteful number, since it uses less digits than its factorization.

10010200200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108546 (or 108540 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010200200112 its reverse (21100200201001), we get a palindrome (31110400401113).

The spelling of 10010200200112 in words is "ten trillion, ten billion, two hundred million, two hundred thousand, one hundred twelve".