221021002120110 has 128 divisors (see below), whose sum is σ = 579946357039104. Its totient is φ = 53666304122880.

The previous prime is 221021002120091. The next prime is 221021002120123. The reversal of 221021002120110 is 11021200120122.

221021002120110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221021002120110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221021002120110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50268687 + ... + 54488373.

It is an arithmetic number, because the mean of its divisors is an integer number (4530830914368).

Almost surely, 2^{221021002120110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221021002120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289973178519552).

221021002120110 is an abundant number, since it is smaller than the sum of its proper divisors (358925354918994).

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

221021002120110 is a wasteful number, since it uses less digits than its factorization.

221021002120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223058.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221021002120110 its reverse (11021200120122), we get a palindrome (232042202240232).

The spelling of 221021002120110 in words is "two hundred twenty-one trillion, twenty-one billion, two million, one hundred twenty thousand, one hundred ten".