222102202220100 has 216 divisors, whose sum is σ = 698708890880000. Its totient is φ = 59011266804480.

The previous prime is 222102202220071. The next prime is 222102202220123. The reversal of 222102202220100 is 1022202201222.

222102202220100 is a `hidden beast` number, since 2 + 2 + 210 + 220 + 2 + 220 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 401457471 + ... + 402010329.

Almost surely, 2^{222102202220100} is an apocalyptic number.

222102202220100 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 222102202220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349354445440000).

222102202220100 is an abundant number, since it is smaller than the sum of its proper divisors (476606688659900).

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

222102202220100 is a wasteful number, since it uses less digits than its factorization.

222102202220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554507 (or 554497 counting only the distinct ones).

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

Adding to 222102202220100 its reverse (1022202201222), we get a palindrome (223124404421322).

The spelling of 222102202220100 in words is "two hundred twenty-two trillion, one hundred two billion, two hundred two million, two hundred twenty thousand, one hundred".