221022002102112 has 48 divisors (see below), whose sum is σ = 644647506133680. Its totient is φ = 73674000700416.

The previous prime is 221022002102093. The next prime is 221022002102113. The reversal of 221022002102112 is 211201200220122.

It is a happy number.

221022002102112 is a `hidden beast` number, since 2 + 21 + 0 + 220 + 0 + 210 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022002102113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127906250353 + ... + 127906252080.

It is an arithmetic number, because the mean of its divisors is an integer number (13430156377785).

Almost surely, 2^{221022002102112} is an apocalyptic number.

It is an amenable number.

221022002102112 is an abundant number, since it is smaller than the sum of its proper divisors (423625504031568).

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

221022002102112 is a wasteful number, since it uses less digits than its factorization.

221022002102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255812502452 (or 255812502438 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221022002102112 its reverse (211201200220122), we get a palindrome (432223202322234).

The spelling of 221022002102112 in words is "two hundred twenty-one trillion, twenty-two billion, two million, one hundred two thousand, one hundred twelve".