221220022101012 has 72 divisors (see below), whose sum is σ = 642137863217760. Its totient is φ = 63508140313920.

The previous prime is 221220022101011. The next prime is 221220022101073. The reversal of 221220022101012 is 210101220022122.

It is a happy number.

221220022101012 is a `hidden beast` number, since 221 + 2 + 200 + 221 + 0 + 10 + 12 = 666.

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 (221220022101011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14700950883 + ... + 14700965930.

It is an arithmetic number, because the mean of its divisors is an integer number (8918581433580).

Almost surely, 2^{221220022101012} is an apocalyptic number.

221220022101012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

221220022101012 is an abundant number, since it is smaller than the sum of its proper divisors (420917841116748).

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

221220022101012 is a wasteful number, since it uses less digits than its factorization.

221220022101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29401916853 (or 29401916848 counting only the distinct ones).

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

Adding to 221220022101012 its reverse (210101220022122), we get a palindrome (431321242123134).

The spelling of 221220022101012 in words is "two hundred twenty-one trillion, two hundred twenty billion, twenty-two million, one hundred one thousand, twelve".