10160206101 has 12 divisors (see below), whose sum is σ = 14700280140. Its totient is φ = 6762196800.

The previous prime is 10160206081. The next prime is 10160206117.

10160206101 is a `hidden beast` number, since 1 + 0 + 1 + 602 + 0 + 61 + 0 + 1 = 666.

10160206101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 9025190001 + 1135016100 = 95001^2 + 33690^2 .

It is not a de Polignac number, because 10160206101 - 2¹⁵ = 10160173333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10160206141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 933786 + ... + 944603.

It is an arithmetic number, because the mean of its divisors is an integer number (1225023345).

Almost surely, 2^10160206101 is an apocalyptic number.

It is an amenable number.

10160206101 is a deficient number, since it is larger than the sum of its proper divisors (4540074039).

10160206101 is a wasteful number, since it uses less digits than its factorization.

10160206101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878996 (or 1878993 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

It can be divided in two parts, 1016020 and 6101, that added together give a square (1022121 = 1011²).

The spelling of 10160206101 in words is "ten billion, one hundred sixty million, two hundred six thousand, one hundred one".