221100122012000 has 288 divisors, whose sum is σ = 689384444295456. Its totient is φ = 68914323072000.

The previous prime is 221100122011999. The next prime is 221100122012051. The reversal of 221100122012000 is 210221001122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 49119539 + ... + 53431538.

It is an arithmetic number, because the mean of its divisors is an integer number (2393695987137).

Almost surely, 2^{221100122012000} is an apocalyptic number.

221100122012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100122012000 is an abundant number, since it is smaller than the sum of its proper divisors (468284322283456).

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

221100122012000 is a wasteful number, since it uses less digits than its factorization.

221100122012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102551127 (or 102551102 counting only the distinct ones).

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

Adding to 221100122012000 its reverse (210221001122), we get a palindrome (221310343013122).

The spelling of 221100122012000 in words is "two hundred twenty-one trillion, one hundred billion, one hundred twenty-two million, twelve thousand".