222101112220020 has 768 divisors, whose sum is σ = 801134983434240. Its totient is φ = 50485491302400.

The previous prime is 222101112219989. The next prime is 222101112220049. The reversal of 222101112220020 is 20022211101222.

It is a happy number.

222101112220020 is a `hidden beast` number, since 222 + 101 + 1 + 122 + 200 + 20 = 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 = 222101112219975 and 222101112220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 82046955507 + ... + 82046958213.

It is an arithmetic number, because the mean of its divisors is an integer number (1043144509680).

Almost surely, 2^{222101112220020} is an apocalyptic number.

222101112220020 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 222101112220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400567491717120).

222101112220020 is an abundant number, since it is smaller than the sum of its proper divisors (579033871214220).

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

222101112220020 is a wasteful number, since it uses less digits than its factorization.

222101112220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5501 (or 5493 counting only the distinct ones).

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

Adding to 222101112220020 its reverse (20022211101222), we get a palindrome (242123323321242).

The spelling of 222101112220020 in words is "two hundred twenty-two trillion, one hundred one billion, one hundred twelve million, two hundred twenty thousand, twenty".