10020110022113 has 2 divisors, whose sum is σ = 10020110022114. Its totient is φ = 10020110022112.

The previous prime is 10020110022101. The next prime is 10020110022119. The reversal of 10020110022113 is 31122001102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9782207033104 + 237902989009 = 3127652^2 + 487753^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020110022113 - 2⁶ = 10020110022049 is a prime.

It is not a weakly prime, because it can be changed into another prime (10020110022119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010055011056 + 5010055011057.

It is an arithmetic number, because the mean of its divisors is an integer number (5010055011057).

Almost surely, 2^{10020110022113} is an apocalyptic number.

It is an amenable number.

10020110022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020110022113 is an equidigital number, since it uses as much as digits as its factorization.

10020110022113 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 10020110022113 its reverse (31122001102001), we get a palindrome (41142111124114).

The spelling of 10020110022113 in words is "ten trillion, twenty billion, one hundred ten million, twenty-two thousand, one hundred thirteen".