22222100102202 has 256 divisors, whose sum is σ = 67122279383040. Its totient is φ = 5327974998720.

The previous prime is 22222100102063. The next prime is 22222100102249. The reversal of 22222100102202 is 20220100122222.

22222100102202 is a `hidden beast` number, since 2 + 222 + 210 + 0 + 10 + 220 + 2 = 666.

It is a super-2 number, since 2×22222100102202² (a number of 27 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1840663 + ... + 6916085.

It is an arithmetic number, because the mean of its divisors is an integer number (262196403840).

Almost surely, 2^{22222100102202} is an apocalyptic number.

22222100102202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22222100102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33561139691520).

22222100102202 is an abundant number, since it is smaller than the sum of its proper divisors (44900179280838).

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

22222100102202 is a wasteful number, since it uses less digits than its factorization.

22222100102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075477 (or 5075459 counting only the distinct ones).

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

Adding to 22222100102202 its reverse (20220100122222), we get a palindrome (42442200224424).

The spelling of 22222100102202 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred million, one hundred two thousand, two hundred two".