221100202202022 has 384 divisors, whose sum is σ = 606823805952000. Its totient is φ = 57226234060800.

The previous prime is 221100202201999. The next prime is 221100202202041. The reversal of 221100202202022 is 220202202001122.

221100202202022 is a `hidden beast` number, since 221 + 1 + 0 + 0 + 20 + 220 + 202 + 2 = 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 = 221100202201986 and 221100202202004.

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, 237880854 + ... + 238808502.

It is an arithmetic number, because the mean of its divisors is an integer number (1580270328000).

Almost surely, 2^{221100202202022} is an apocalyptic number.

221100202202022 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 221100202202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303411902976000).

221100202202022 is an abundant number, since it is smaller than the sum of its proper divisors (385723603749978).

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

221100202202022 is a wasteful number, since it uses less digits than its factorization.

221100202202022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927844 (or 927841 counting only the distinct ones).

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

Adding to 221100202202022 its reverse (220202202001122), we get a palindrome (441302404203144).

The spelling of 221100202202022 in words is "two hundred twenty-one trillion, one hundred billion, two hundred two million, two hundred two thousand, twenty-two".