2222220122113 has 32 divisors (see below), whose sum is σ = 2292240384000. Its totient is φ = 2153684877696.

The previous prime is 2222220122107. The next prime is 2222220122119. The reversal of 2222220122113 is 3112210222222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2222220122107) and next prime (2222220122119).

It is a cyclic number.

It is not a de Polignac number, because 2222220122113 - 2¹³ = 2222220113921 is a prime.

It is a super-2 number, since 2×2222220122113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2222220122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563013006 + ... + 563016952.

It is an arithmetic number, because the mean of its divisors is an integer number (71632512000).

Almost surely, 2^{2222220122113} is an apocalyptic number.

It is an amenable number.

2222220122113 is a deficient number, since it is larger than the sum of its proper divisors (70020261887).

2222220122113 is a wasteful number, since it uses less digits than its factorization.

2222220122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2222220122113 its reverse (3112210222222), we get a palindrome (5334430344335).

The spelling of 2222220122113 in words is "two trillion, two hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred thirteen".