115201021 has 24 divisors (see below), whose sum is σ = 132134184. Its totient is φ = 99778560.

The previous prime is 115201019. The next prime is 115201057. The reversal of 115201021 is 120102511.

115201021 = 7589² + 7590².

It can be written as a sum of positive squares in 12 ways, for example, as 27984100 + 87216921 = 5290^2 + 9339^2 .

It is not a de Polignac number, because 115201021 - 2¹ = 115201019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 115200992 and 115201010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115201321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448125 + ... + 448381.

It is an arithmetic number, because the mean of its divisors is an integer number (5505591).

Almost surely, 2^115201021 is an apocalyptic number.

115201021 is the 7590-th centered square number.

It is an amenable number.

115201021 is a deficient number, since it is larger than the sum of its proper divisors (16933163).

115201021 is a wasteful number, since it uses less digits than its factorization.

115201021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 115201021 is about 10733.1738549229. The cubic root of 115201021 is about 486.5775971250.

Adding to 115201021 its reverse (120102511), we get a palindrome (235303532).

The spelling of 115201021 in words is "one hundred fifteen million, two hundred one thousand, twenty-one".