221000211100120 has 64 divisors (see below), whose sum is σ = 518873711328000. Its totient is φ = 84556007614848.

The previous prime is 221000211099991. The next prime is 221000211100127. The reversal of 221000211100120 is 21001112000122.

It is a self number, because there is not a number n which added to its sum of digits gives 221000211100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221000211100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143359591 + ... + 144892969.

It is an arithmetic number, because the mean of its divisors is an integer number (8107401739500).

Almost surely, 2^{221000211100120} is an apocalyptic number.

221000211100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000211100120 is an abundant number, since it is smaller than the sum of its proper divisors (297873500227880).

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

221000211100120 is a wasteful number, since it uses less digits than its factorization.

221000211100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690072 (or 1690068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221000211100120 its reverse (21001112000122), we get a palindrome (242001323100242).

The spelling of 221000211100120 in words is "two hundred twenty-one trillion, two hundred eleven million, one hundred thousand, one hundred twenty".