221200121102000 has 80 divisors (see below), whose sum is σ = 535822150267872. Its totient is φ = 88321196921600.

The previous prime is 221200121101957. The next prime is 221200121102053. The reversal of 221200121102000 is 201121002122.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98167922 + ... + 100395921.

Almost surely, 2^{221200121102000} is an apocalyptic number.

221200121102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200121102000 is an abundant number, since it is smaller than the sum of its proper divisors (314622029165872).

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

221200121102000 is a wasteful number, since it uses less digits than its factorization.

221200121102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198564423 (or 198564407 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221200121102000 its reverse (201121002122), we get a palindrome (221401242104122).

The spelling of 221200121102000 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty-one million, one hundred two thousand".