10113122101 has 2 divisors, whose sum is σ = 10113122102. Its totient is φ = 10113122100.

The previous prime is 10113122099. The next prime is 10113122119. The reversal of 10113122101 is 10122131101.

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., 9653062500 + 460059601 = 98250^2 + 21449^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113122101 - 2¹ = 10113122099 is a prime.

Together with 10113122099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10113522101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056561050 + 5056561051.

It is an arithmetic number, because the mean of its divisors is an integer number (5056561051).

Almost surely, 2^10113122101 is an apocalyptic number.

It is an amenable number.

10113122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113122101 is an equidigital number, since it uses as much as digits as its factorization.

10113122101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10113122101 its reverse (10122131101), we get a palindrome (20235253202).

The spelling of 10113122101 in words is "ten billion, one hundred thirteen million, one hundred twenty-two thousand, one hundred one".