101110022113 has 2 divisors, whose sum is σ = 101110022114. Its totient is φ = 101110022112.

The previous prime is 101110022093. The next prime is 101110022173. The reversal of 101110022113 is 311220011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97089574464 + 4020447649 = 311592^2 + 63407^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110022113 - 2⁵ = 101110022081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101110022093 and 101110022102.

It is not a weakly prime, because it can be changed into another prime (101110022173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555011056 + 50555011057.

It is an arithmetic number, because the mean of its divisors is an integer number (50555011057).

Almost surely, 2^101110022113 is an apocalyptic number.

It is an amenable number.

101110022113 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110022113 is an equidigital number, since it uses as much as digits as its factorization.

101110022113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101110022113 its reverse (311220011101), we get a palindrome (412330033214).

The spelling of 101110022113 in words is "one hundred one billion, one hundred ten million, twenty-two thousand, one hundred thirteen".