222122200220100 has 144 divisors (see below), whose sum is σ = 714278109664000. Its totient is φ = 59216297996160.

The previous prime is 222122200220059. The next prime is 222122200220113. The reversal of 222122200220100 is 1022002221222.

222122200220100 is a `hidden beast` number, since 2 + 2 + 212 + 220 + 0 + 220 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1489900 + ... + 21129699.

Almost surely, 2^{222122200220100} is an apocalyptic number.

222122200220100 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 222122200220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357139054832000).

222122200220100 is an abundant number, since it is smaller than the sum of its proper divisors (492155909443900).

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

222122200220100 is a wasteful number, since it uses less digits than its factorization.

222122200220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22623259 (or 22623246 counting only the distinct ones).

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

Adding to 222122200220100 its reverse (1022002221222), we get a palindrome (223144202441322).

The spelling of 222122200220100 in words is "two hundred twenty-two trillion, one hundred twenty-two billion, two hundred million, two hundred twenty thousand, one hundred".