222102211100000 has 1152 divisors, whose sum is σ = 714302839692288. Its totient is φ = 65963520000000.

The previous prime is 222102211099991. The next prime is 222102211100053. The reversal of 222102211100000 is 1112201222.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13575091820 + ... + 13575108180.

It is an arithmetic number, because the mean of its divisors is an integer number (620054548344).

Almost surely, 2^{222102211100000} is an apocalyptic number.

222102211100000 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 222102211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357151419846144).

222102211100000 is an abundant number, since it is smaller than the sum of its proper divisors (492200628592288).

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

222102211100000 is a wasteful number, since it uses less digits than its factorization.

222102211100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16498 (or 16470 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222102211100000 its reverse (1112201222), we get a palindrome (222103323301222).

The spelling of 222102211100000 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred eleven million, one hundred thousand".