10011102113 has 2 divisors, whose sum is σ = 10011102114. Its totient is φ = 10011102112.

The previous prime is 10011102083. The next prime is 10011102133. The reversal of 10011102113 is 31120111001.

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., 9711708304 + 299393809 = 98548^2 + 17303^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011102113 - 2²⁶ = 9943993249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011102094 and 10011102103.

It is not a weakly prime, because it can be changed into another prime (10011102133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005551056 + 5005551057.

It is an arithmetic number, because the mean of its divisors is an integer number (5005551057).

Almost surely, 2^10011102113 is an apocalyptic number.

It is an amenable number.

10011102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011102113 is an equidigital number, since it uses as much as digits as its factorization.

10011102113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10011102113 its reverse (31120111001), we get a palindrome (41131213114).

The spelling of 10011102113 in words is "ten billion, eleven million, one hundred two thousand, one hundred thirteen".