10000010571001 has 16 divisors (see below), whose sum is σ = 11215900725120. Its totient is φ = 8835777924480.

The previous prime is 10000010570971. The next prime is 10000010571007. The reversal of 10000010571001 is 10017501000001.

It is a cyclic number.

It is not a de Polignac number, because 10000010571001 - 2³³ = 9991420636409 is a prime.

It is a super-2 number, since 2×10000010571001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000010571007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12729661 + ... + 13492378.

It is an arithmetic number, because the mean of its divisors is an integer number (700993795320).

Almost surely, 2^{10000010571001} is an apocalyptic number.

10000010571001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000010571001 is a deficient number, since it is larger than the sum of its proper divisors (1215890154119).

10000010571001 is a wasteful number, since it uses less digits than its factorization.

10000010571001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26223024.

The product of its (nonzero) digits is 35, while the sum is 16.

Adding to 10000010571001 its reverse (10017501000001), we get a palindrome (20017511571002).

The spelling of 10000010571001 in words is "ten trillion, ten million, five hundred seventy-one thousand, one".