222222120020100 has 432 divisors, whose sum is σ = 715291749179280. Its totient is φ = 57684787200000.

The previous prime is 222222120020093. The next prime is 222222120020101. The reversal of 222222120020100 is 1020021222222.

222222120020100 is a `hidden beast` number, since 2 + 222 + 221 + 20 + 0 + 201 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 115695322142976 + 106526797877124 = 10756176^2 + 10321182^2 .

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

It is not an unprimeable number, because it can be changed into a prime (222222120020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14466636420 + ... + 14466651780.

It is an arithmetic number, because the mean of its divisors is an integer number (1655767937915).

Almost surely, 2^{222222120020100} is an apocalyptic number.

222222120020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222222120020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357645874589640).

222222120020100 is an abundant number, since it is smaller than the sum of its proper divisors (493069629159180).

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

222222120020100 is a wasteful number, since it uses less digits than its factorization.

222222120020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18152 (or 18142 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 222222120020100 its reverse (1020021222222), we get a palindrome (223242141242322).

The spelling of 222222120020100 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, one hundred twenty million, twenty thousand, one hundred".