100211200002200 has 96 divisors (see below), whose sum is σ = 266389617339360. Its totient is φ = 34343397580800.

The previous prime is 100211200002191. The next prime is 100211200002209. The reversal of 100211200002200 is 2200002112001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100211200002191) and next prime (100211200002209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211200002209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12074441 + ... + 18606840.

It is an arithmetic number, because the mean of its divisors is an integer number (2774891847285).

Almost surely, 2^{100211200002200} is an apocalyptic number.

100211200002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211200002200 is an abundant number, since it is smaller than the sum of its proper divisors (166178417337160).

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

100211200002200 is a wasteful number, since it uses less digits than its factorization.

100211200002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30683637 (or 30683628 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100211200002200 its reverse (2200002112001), we get a palindrome (102411202114201).

The spelling of 100211200002200 in words is "one hundred trillion, two hundred eleven billion, two hundred million, two thousand, two hundred".