221211002021120 has 72 divisors (see below), whose sum is σ = 530408514335616. Its totient is φ = 88394385655808.

The previous prime is 221211002021111. The next prime is 221211002021131. The reversal of 221211002021120 is 21120200112122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86646692 + ... + 89163171.

It is an arithmetic number, because the mean of its divisors is an integer number (7366784921328).

Almost surely, 2^{221211002021120} is an apocalyptic number.

221211002021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211002021120 is an abundant number, since it is smaller than the sum of its proper divisors (309197512314496).

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

221211002021120 is an equidigital number, since it uses as much as digits as its factorization.

221211002021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175810867 (or 175810853 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221211002021120 its reverse (21120200112122), we get a palindrome (242331202133242).

The spelling of 221211002021120 in words is "two hundred twenty-one trillion, two hundred eleven billion, two million, twenty-one thousand, one hundred twenty".