2200102022113 has 2 divisors, whose sum is σ = 2200102022114. Its totient is φ = 2200102022112.

The previous prime is 2200102022099. The next prime is 2200102022123. The reversal of 2200102022113 is 3112202010022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1361674280464 + 838427741649 = 1166908^2 + 915657^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200102022113 - 2¹⁷ = 2200101891041 is a prime.

It is a super-3 number, since 3×2200102022113³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2200102022123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100051011056 + 1100051011057.

It is an arithmetic number, because the mean of its divisors is an integer number (1100051011057).

Almost surely, 2^{2200102022113} is an apocalyptic number.

It is an amenable number.

2200102022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200102022113 is an equidigital number, since it uses as much as digits as its factorization.

2200102022113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2200102022113 its reverse (3112202010022), we get a palindrome (5312304032135).

The spelling of 2200102022113 in words is "two trillion, two hundred billion, one hundred two million, twenty-two thousand, one hundred thirteen".