10000010000001 has 16 divisors (see below), whose sum is σ = 16134469916544. Its totient is φ = 5378156638464.

The previous prime is 10000009999927. The next prime is 10000010000027. The reversal of 10000010000001 is 10000001000001.

It is not a de Polignac number, because 10000010000001 - 2⁹ = 10000009999489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is not an unprimeable number, because it can be changed into a prime (10000010000081) 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, 14005615890 + ... + 14005616603.

It is an arithmetic number, because the mean of its divisors is an integer number (1008404369784).

Almost surely, 2^{10000010000001} is an apocalyptic number.

It is an amenable number.

10000010000001 is a deficient number, since it is larger than the sum of its proper divisors (6134459916543).

10000010000001 is a wasteful number, since it uses less digits than its factorization.

10000010000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28011232520.

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 10000010000001 its reverse (10000001000001), we get a palindrome (20000011000002).

Subtracting from 10000010000001 its reverse (10000001000001), we obtain a square (9000000 = 3000²).

It can be divided in two parts, 1000001000000 and 1, that added together give a palindrome (1000001000001).

The spelling of 10000010000001 in words is "ten trillion, ten million, one", and thus it is an aban number and an uban number.