222121100200120 has 128 divisors (see below), whose sum is σ = 545891871744000. Its totient is φ = 80669766228480.

The previous prime is 222121100200093. The next prime is 222121100200133. The reversal of 222121100200120 is 21002001121222.

It is a happy number.

It is a super-2 number, since 2×222121100200120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222121100200094 and 222121100200103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5544275209 + ... + 5544315271.

It is an arithmetic number, because the mean of its divisors is an integer number (4264780248000).

Almost surely, 2^{222121100200120} is an apocalyptic number.

222121100200120 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 222121100200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272945935872000).

222121100200120 is an abundant number, since it is smaller than the sum of its proper divisors (323770771543880).

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

222121100200120 is a wasteful number, since it uses less digits than its factorization.

222121100200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55613 (or 55609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222121100200120 its reverse (21002001121222), we get a palindrome (243123101321342).

The spelling of 222121100200120 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, one hundred million, two hundred thousand, one hundred twenty".