222022100102100 has 144 divisors (see below), whose sum is σ = 663239645945856. Its totient is φ = 57284478576000.

The previous prime is 222022100102029. The next prime is 222022100102113. The reversal of 222022100102100 is 1201001220222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 222022100102100.

It is a congruent number.

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, 43789905 + ... + 48596295.

It is an arithmetic number, because the mean of its divisors is an integer number (4605830874624).

Almost surely, 2^{222022100102100} is an apocalyptic number.

222022100102100 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 222022100102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331619822972928).

222022100102100 is an abundant number, since it is smaller than the sum of its proper divisors (441217545843756).

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

222022100102100 is a wasteful number, since it uses less digits than its factorization.

222022100102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811406 (or 4811399 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 222022100102100 its reverse (1201001220222), we get a palindrome (223223101322322).

The spelling of 222022100102100 in words is "two hundred twenty-two trillion, twenty-two billion, one hundred million, one hundred two thousand, one hundred".