10011012120200 has 144 divisors (see below), whose sum is σ = 29158448310180. Its totient is φ = 3168320279040.

The previous prime is 10011012120199. The next prime is 10011012120223. The reversal of 10011012120200 is 202121011001.

10011012120200 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 4580909773636 + 5430102346564 = 2140306^2 + 2330258^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39162287 + ... + 39417086.

Almost surely, 2^{10011012120200} is an apocalyptic number.

10011012120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011012120200 is an abundant number, since it is smaller than the sum of its proper divisors (19147436189980).

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

10011012120200 is a wasteful number, since it uses less digits than its factorization.

10011012120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78579416 (or 78579400 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10011012120200 its reverse (202121011001), we get a palindrome (10213133131201).

The spelling of 10011012120200 in words is "ten trillion, eleven billion, twelve million, one hundred twenty thousand, two hundred".