220222102001121 has 192 divisors, whose sum is σ = 369063185587200. Its totient is φ = 125333228966400.

The previous prime is 220222102001107. The next prime is 220222102001141. The reversal of 220222102001121 is 121100201222022.

It is a happy number.

220222102001121 is a `hidden beast` number, since 220 + 2 + 2 + 210 + 200 + 11 + 21 = 666.

It is not a de Polignac number, because 220222102001121 - 2¹¹ = 220222101999073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220222102001094 and 220222102001103.

It is not an unprimeable number, because it can be changed into a prime (220222102001101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7211160670 + ... + 7211191208.

It is an arithmetic number, because the mean of its divisors is an integer number (1922204091600).

Almost surely, 2^{220222102001121} is an apocalyptic number.

It is an amenable number.

220222102001121 is a deficient number, since it is larger than the sum of its proper divisors (148841083586079).

220222102001121 is a wasteful number, since it uses less digits than its factorization.

220222102001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31260 (or 31257 counting only the distinct ones).

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

Adding to 220222102001121 its reverse (121100201222022), we get a palindrome (341322303223143).

The spelling of 220222102001121 in words is "two hundred twenty trillion, two hundred twenty-two billion, one hundred two million, one thousand, one hundred twenty-one".