10011021100200 has 72 divisors (see below), whose sum is σ = 33620345867550. Its totient is φ = 2669605626240.

The previous prime is 10011021100177. The next prime is 10011021100217. The reversal of 10011021100200 is 200112011001.

It is a happy number.

10011021100200 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 3 ways, for example, as 9581018283684 + 430002816516 = 3095322^2 + 655746^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 2780837395 + ... + 2780840994.

Almost surely, 2^{10011021100200} is an apocalyptic number.

10011021100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011021100200 is an abundant number, since it is smaller than the sum of its proper divisors (23609324767350).

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

10011021100200 is a wasteful number, since it uses less digits than its factorization.

10011021100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561678411 (or 5561678399 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011021100200 its reverse (200112011001), we get a palindrome (10211133111201).

The spelling of 10011021100200 in words is "ten trillion, eleven billion, twenty-one million, one hundred thousand, two hundred".