2202222122100 has 576 divisors, whose sum is σ = 9505671598080. Its totient is φ = 422403724800.

The previous prime is 2202222122069. The next prime is 2202222122119. The reversal of 2202222122100 is 12212222022.

2202222122100 is a `hidden beast` number, since 2 + 20 + 222 + 212 + 210 + 0 = 666.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2295289 + ... + 3110111.

It is an arithmetic number, because the mean of its divisors is an integer number (16502902080).

Almost surely, 2^{2202222122100} is an apocalyptic number.

2202222122100 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 2202222122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752835799040).

2202222122100 is an abundant number, since it is smaller than the sum of its proper divisors (7303449475980).

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

2202222122100 is a wasteful number, since it uses less digits than its factorization.

2202222122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814877 (or 814864 counting only the distinct ones).

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

Adding to 2202222122100 its reverse (12212222022), we get a palindrome (2214434344122).

It can be divided in two parts, 22022 and 22122100, that added together give a palindrome (22144122).

The spelling of 2202222122100 in words is "two trillion, two hundred two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".