10171008001 has 16 divisors (see below), whose sum is σ = 12697216128. Its totient is φ = 7915161600.

The previous prime is 10171007999. The next prime is 10171008011. The reversal of 10171008001 is 10080017101.

It is a cyclic number.

It is not a de Polignac number, because 10171008001 - 2¹ = 10171007999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10171008001.

It is not an unprimeable number, because it can be changed into a prime (10171008011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25920 + ... + 144961.

It is an arithmetic number, because the mean of its divisors is an integer number (793576008).

Almost surely, 2^10171008001 is an apocalyptic number.

10171008001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10171008001 is a deficient number, since it is larger than the sum of its proper divisors (2526208127).

10171008001 is a wasteful number, since it uses less digits than its factorization.

10171008001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171672.

The product of its (nonzero) digits is 56, while the sum is 19.

The spelling of 10171008001 in words is "ten billion, one hundred seventy-one million, eight thousand, one".