10170007101 has 12 divisors (see below), whose sum is σ = 14692991040. Its totient is φ = 6778629000.

The previous prime is 10170007049. The next prime is 10170007139.

10170007101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10170007101 - 2⁹ = 10170006589 is a prime.

It is a super-4 number, since 4×10170007101⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10170007151) 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, 66775 + ... + 157476.

It is an arithmetic number, because the mean of its divisors is an integer number (1224415920).

Almost surely, 2^10170007101 is an apocalyptic number.

It is an amenable number.

10170007101 is a deficient number, since it is larger than the sum of its proper divisors (4522983939).

10170007101 is a wasteful number, since it uses less digits than its factorization.

10170007101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229296 (or 229293 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 18.

The spelling of 10170007101 in words is "ten billion, one hundred seventy million, seven thousand, one hundred one".