222110212120100 has 72 divisors (see below), whose sum is σ = 516064930746120. Its totient is φ = 82678434488320.

The previous prime is 222110212119977. The next prime is 222110212120129. The reversal of 222110212120100 is 1021212011222.

It can be written as a sum of positive squares in 12 ways, for example, as 113302740429376 + 108807471690724 = 10644376^2 + 10431082^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733854689 + ... + 734157288.

It is an arithmetic number, because the mean of its divisors is an integer number (7167568482585).

Almost surely, 2^{222110212120100} is an apocalyptic number.

222110212120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222110212120100 is an abundant number, since it is smaller than the sum of its proper divisors (293954718626020).

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

222110212120100 is a wasteful number, since it uses less digits than its factorization.

222110212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468012097 (or 1468012090 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 222110212120100 its reverse (1021212011222), we get a palindrome (223131424131322).

The spelling of 222110212120100 in words is "two hundred twenty-two trillion, one hundred ten billion, two hundred twelve million, one hundred twenty thousand, one hundred".