2241115515121 has 24 divisors (see below), whose sum is σ = 2697967978920. Its totient is φ = 1853987933952.

The previous prime is 2241115515101. The next prime is 2241115515131. The reversal of 2241115515121 is 1215155111422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 95828012721 + 2145287502400 = 309561^2 + 1464680^2 .

It is not a de Polignac number, because 2241115515121 - 2¹⁷ = 2241115384049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2241115515101) 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, 3325101 + ... + 3941893.

It is an arithmetic number, because the mean of its divisors is an integer number (112415332455).

Almost surely, 2^{2241115515121} is an apocalyptic number.

It is an amenable number.

2241115515121 is a deficient number, since it is larger than the sum of its proper divisors (456852463799).

2241115515121 is a wasteful number, since it uses less digits than its factorization.

2241115515121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619393 (or 619386 counting only the distinct ones).

The product of its digits is 4000, while the sum is 31.

The spelling of 2241115515121 in words is "two trillion, two hundred forty-one billion, one hundred fifteen million, five hundred fifteen thousand, one hundred twenty-one".