222222101210100 has 108 divisors (see below), whose sum is σ = 696563089049100. Its totient is φ = 59257503475200.

The previous prime is 222222101210099. The next prime is 222222101210111. The reversal of 222222101210100 is 1012101222222.

It is a happy number.

222222101210100 is a `hidden beast` number, since 2 + 222 + 221 + 0 + 1 + 210 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33414550203024 + 188807551007076 = 5780532^2 + 13740726^2 .

It is a super-3 number, since 3×222222101210100³ (a number of 44 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27520720 + ... + 34667480.

Almost surely, 2^{222222101210100} is an apocalyptic number.

222222101210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222222101210100 is an abundant number, since it is smaller than the sum of its proper divisors (474340987839000).

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

222222101210100 is a wasteful number, since it uses less digits than its factorization.

222222101210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7181330 (or 7181320 counting only the distinct ones).

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

Adding to 222222101210100 its reverse (1012101222222), we get a palindrome (223234202432322).

The spelling of 222222101210100 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, one hundred one million, two hundred ten thousand, one hundred".