10616171121 has 28 divisors (see below), whose sum is σ = 16057958148. Its totient is φ = 7014760704.

The previous prime is 10616171053. The next prime is 10616171141. The reversal of 10616171121 is 12117161601.

10616171121 is a `hidden beast` number, since 1 + 0 + 616 + 17 + 11 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3313614096 + 7302557025 = 57564^2 + 85455^2 .

It is not a de Polignac number, because 10616171121 - 2¹⁸ = 10615908977 is a prime.

It is a super-2 number, since 2×10616171121² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10616171141) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17941 + ... + 146813.

Almost surely, 2^10616171121 is an apocalyptic number.

It is an amenable number.

10616171121 is a deficient number, since it is larger than the sum of its proper divisors (5441787027).

10616171121 is an equidigital number, since it uses as much as digits as its factorization.

10616171121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129004 (or 128989 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 10616171121 in words is "ten billion, six hundred sixteen million, one hundred seventy-one thousand, one hundred twenty-one".