115513022252101 has 12 divisors (see below), whose sum is σ = 117794046939588. Its totient is φ = 113272092497664.

The previous prime is 115513022252087. The next prime is 115513022252119. The reversal of 115513022252101 is 101252220315511.

It can be written as a sum of positive squares in 6 ways, for example, as 1275937421476 + 114237084830625 = 1129574^2 + 10688175^2 .

It is not a de Polignac number, because 115513022252101 - 2¹⁵ = 115513022219333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115513022252141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61726360 + ... + 63570193.

It is an arithmetic number, because the mean of its divisors is an integer number (9816170578299).

Almost surely, 2^{115513022252101} is an apocalyptic number.

It is an amenable number.

115513022252101 is a deficient number, since it is larger than the sum of its proper divisors (2281024687487).

115513022252101 is an equidigital number, since it uses as much as digits as its factorization.

115513022252101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125296872 (or 125296799 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 31.

Adding to 115513022252101 its reverse (101252220315511), we get a palindrome (216765242567612).

The spelling of 115513022252101 in words is "one hundred fifteen trillion, five hundred thirteen billion, twenty-two million, two hundred fifty-two thousand, one hundred one".