221200012110000 has 400 divisors, whose sum is σ = 890260538035968. Its totient is φ = 45963638400000.

The previous prime is 221200012109971. The next prime is 221200012110017. The reversal of 221200012110000 is 11210002122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45568791 + ... + 50188790.

Almost surely, 2^{221200012110000} is an apocalyptic number.

221200012110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200012110000 is an abundant number, since it is smaller than the sum of its proper divisors (669060525925968).

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

221200012110000 is a wasteful number, since it uses less digits than its factorization.

221200012110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95757630 (or 95757609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221200012110000 its reverse (11210002122), we get a palindrome (221211222112122).

The spelling of 221200012110000 in words is "two hundred twenty-one trillion, two hundred billion, twelve million, one hundred ten thousand".