100212210022200 has 96 divisors (see below), whose sum is σ = 320679072130560. Its totient is φ = 25861215484800.

The previous prime is 100212210022153. The next prime is 100212210022219. The reversal of 100212210022200 is 2220012212001.

100212210022200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100212210022200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2693858014 + ... + 2693895213.

It is an arithmetic number, because the mean of its divisors is an integer number (3340407001360).

Almost surely, 2^{100212210022200} is an apocalyptic number.

100212210022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212210022200 is an abundant number, since it is smaller than the sum of its proper divisors (220466862108360).

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

100212210022200 is a wasteful number, since it uses less digits than its factorization.

100212210022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387753277 (or 5387753268 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100212210022200 its reverse (2220012212001), we get a palindrome (102432222234201).

The spelling of 100212210022200 in words is "one hundred trillion, two hundred twelve billion, two hundred ten million, twenty-two thousand, two hundred".