10113122132101 has 2 divisors, whose sum is σ = 10113122132102. Its totient is φ = 10113122132100.

The previous prime is 10113122132053. The next prime is 10113122132131. The reversal of 10113122132101 is 10123122131101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8866393567201 + 1246728564900 = 2977649^2 + 1116570^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113122132101 - 2²³ = 10113113743493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10113122132131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056561066050 + 5056561066051.

It is an arithmetic number, because the mean of its divisors is an integer number (5056561066051).

Almost surely, 2^{10113122132101} is an apocalyptic number.

It is an amenable number.

10113122132101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113122132101 is an equidigital number, since it uses as much as digits as its factorization.

10113122132101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10113122132101 its reverse (10123122131101), we get a palindrome (20236244263202).

It can be divided in two parts, 1011312 and 2132101, that added together give a palindrome (3143413).

The spelling of 10113122132101 in words is "ten trillion, one hundred thirteen billion, one hundred twenty-two million, one hundred thirty-two thousand, one hundred one".