101160611565651 has 24 divisors (see below), whose sum is σ = 159404920646400. Its totient is φ = 61309338246000.

The previous prime is 101160611565641. The next prime is 101160611565653. The reversal of 101160611565651 is 156565116061101.

101160611565651 is a `hidden beast` number, since 1 + 0 + 1 + 16 + 0 + 6 + 11 + 565 + 65 + 1 = 666.

It is not a de Polignac number, because 101160611565651 - 2⁵ = 101160611565619 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101160611565597 and 101160611565606.

It is not an unprimeable number, because it can be changed into a prime (101160611565653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82846050 + ... + 84058248.

It is an arithmetic number, because the mean of its divisors is an integer number (6641871693600).

Almost surely, 2^{101160611565651} is an apocalyptic number.

101160611565651 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101160611565651 is a deficient number, since it is larger than the sum of its proper divisors (58244309080749).

101160611565651 is a wasteful number, since it uses less digits than its factorization.

101160611565651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055167 (or 2055164 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 45.

The spelling of 101160611565651 in words is "one hundred one trillion, one hundred sixty billion, six hundred eleven million, five hundred sixty-five thousand, six hundred fifty-one".