21130261516161 has 48 divisors (see below), whose sum is σ = 36363422204928. Its totient is φ = 11569244688000.

The previous prime is 21130261516151. The next prime is 21130261516201. The reversal of 21130261516161 is 16161516203112.

21130261516161 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 0 + 26 + 15 + 1 + 616 + 1 = 666.

It is not a de Polignac number, because 21130261516161 - 2²² = 21130257321857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21130261516121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53364066 + ... + 53758571.

It is an arithmetic number, because the mean of its divisors is an integer number (757571295936).

Almost surely, 2^{21130261516161} is an apocalyptic number.

21130261516161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21130261516161 is a deficient number, since it is larger than the sum of its proper divisors (15233160688767).

21130261516161 is a wasteful number, since it uses less digits than its factorization.

21130261516161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107122782 (or 107122779 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

Adding to 21130261516161 its reverse (16161516203112), we get a palindrome (37291777719273).

The spelling of 21130261516161 in words is "twenty-one trillion, one hundred thirty billion, two hundred sixty-one million, five hundred sixteen thousand, one hundred sixty-one".