110002202100113 has 2 divisors, whose sum is σ = 110002202100114. Its totient is φ = 110002202100112.

The previous prime is 110002202100101. The next prime is 110002202100139. The reversal of 110002202100113 is 311001202200011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83163875852929 + 26838326247184 = 9119423^2 + 5180572^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-110002202100113 is a prime.

It is a super-2 number, since 2×110002202100113² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110002202100143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55001101050056 + 55001101050057.

It is an arithmetic number, because the mean of its divisors is an integer number (55001101050057).

Almost surely, 2^{110002202100113} is an apocalyptic number.

It is an amenable number.

110002202100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110002202100113 is an equidigital number, since it uses as much as digits as its factorization.

110002202100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 110002202100113 its reverse (311001202200011), we get a palindrome (421003404300124).

The spelling of 110002202100113 in words is "one hundred ten trillion, two billion, two hundred two million, one hundred thousand, one hundred thirteen".