10000001024871 has 64 divisors (see below), whose sum is σ = 15695580902400. Its totient is φ = 5583254077440.

The previous prime is 10000001024843. The next prime is 10000001024879. The reversal of 10000001024871 is 17842010000001.

It is not a de Polignac number, because 10000001024871 - 2¹⁰ = 10000001023847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000001024879) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1370422695 + ... + 1370429991.

It is an arithmetic number, because the mean of its divisors is an integer number (245243451600).

Almost surely, 2^{10000001024871} is an apocalyptic number.

10000001024871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000001024871 is a deficient number, since it is larger than the sum of its proper divisors (5695579877529).

10000001024871 is a wasteful number, since it uses less digits than its factorization.

10000001024871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13256.

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 10000001024871 its reverse (17842010000001), we get a palindrome (27842011024872).

The spelling of 10000001024871 in words is "ten trillion, one million, twenty-four thousand, eight hundred seventy-one".