101015222521 has 12 divisors (see below), whose sum is σ = 112882913172. Its totient is φ = 90069295104.

The previous prime is 101015222509. The next prime is 101015222533. The reversal of 101015222521 is 125222510101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101015222509) and next prime (101015222533).

It can be written as a sum of positive squares in 2 ways, for example, as 94740840000 + 6274382521 = 307800^2 + 79211^2 .

It is not a de Polignac number, because 101015222521 - 2¹¹ = 101015220473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101015222492 and 101015222501.

It is not an unprimeable number, because it can be changed into a prime (101015222501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8223880 + ... + 8236153.

It is an arithmetic number, because the mean of its divisors is an integer number (9406909431).

Almost surely, 2^101015222521 is an apocalyptic number.

It is an amenable number.

101015222521 is a deficient number, since it is larger than the sum of its proper divisors (11867690651).

101015222521 is a wasteful number, since it uses less digits than its factorization.

101015222521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16460088 (or 16460069 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

Adding to 101015222521 its reverse (125222510101), we get a palindrome (226237732622).

The spelling of 101015222521 in words is "one hundred one billion, fifteen million, two hundred twenty-two thousand, five hundred twenty-one".