10113103111121 has 2 divisors, whose sum is σ = 10113103111122. Its totient is φ = 10113103111120.

The previous prime is 10113103111079. The next prime is 10113103111183. The reversal of 10113103111121 is 12111130131101.

It is a happy number.

10113103111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10094371082896 + 18732028225 = 3177164^2 + 136865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10113103111121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10113103111121.

It is not a weakly prime, because it can be changed into another prime (10113103111421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056551555560 + 5056551555561.

It is an arithmetic number, because the mean of its divisors is an integer number (5056551555561).

Almost surely, 2^{10113103111121} is an apocalyptic number.

It is an amenable number.

10113103111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113103111121 is an equidigital number, since it uses as much as digits as its factorization.

10113103111121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 10113103111121 its reverse (12111130131101), we get a palindrome (22224233242222).

The spelling of 10113103111121 in words is "ten trillion, one hundred thirteen billion, one hundred three million, one hundred eleven thousand, one hundred twenty-one".