222100222022100 has 432 divisors, whose sum is σ = 721730259432000. Its totient is φ = 57083474165760.

The previous prime is 222100222022087. The next prime is 222100222022111. The reversal of 222100222022100 is 1220222001222.

222100222022100 is a `hidden beast` number, since 2 + 221 + 0 + 0 + 2 + 220 + 221 + 0 + 0 = 666.

It is a super-2 number, since 2×222100222022100² (a number of 29 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2078232867 + ... + 2078339733.

Almost surely, 2^{222100222022100} is an apocalyptic number.

222100222022100 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 222100222022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360865129716000).

222100222022100 is an abundant number, since it is smaller than the sum of its proper divisors (499630037409900).

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

222100222022100 is a wasteful number, since it uses less digits than its factorization.

222100222022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107512 (or 107502 counting only the distinct ones).

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

Adding to 222100222022100 its reverse (1220222001222), we get a palindrome (223320444023322).

The spelling of 222100222022100 in words is "two hundred twenty-two trillion, one hundred billion, two hundred twenty-two million, twenty-two thousand, one hundred".