222112100202120 has 128 divisors (see below), whose sum is σ = 742495083120000. Its totient is φ = 59060180125440.

The previous prime is 222112100202103. The next prime is 222112100202121. The reversal of 222112100202120 is 21202001211222.

It is a happy number.

222112100202120 is a `hidden beast` number, since 2 + 221 + 1 + 210 + 0 + 20 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 222112100202093 and 222112100202102.

It is not an unprimeable number, because it can be changed into a prime (222112100202121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 294263986 + ... + 295017825.

It is an arithmetic number, because the mean of its divisors is an integer number (5800742836875).

Almost surely, 2^{222112100202120} is an apocalyptic number.

222112100202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222112100202120 is an abundant number, since it is smaller than the sum of its proper divisors (520382982917880).

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

222112100202120 is a wasteful number, since it uses less digits than its factorization.

222112100202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589282180 (or 589282170 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222112100202120 its reverse (21202001211222), we get a palindrome (243314101413342).

The spelling of 222112100202120 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred million, two hundred two thousand, one hundred twenty".