10000102010001 has 16 divisors (see below), whose sum is σ = 13494254840640. Its totient is φ = 6586343608640.

The previous prime is 10000102009981. The next prime is 10000102010009. The reversal of 10000102010001 is 10001020100001.

It is a cyclic number.

It is not a de Polignac number, because 10000102010001 - 2⁷ = 10000102009873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10000102010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36383671 + ... + 36657491.

It is an arithmetic number, because the mean of its divisors is an integer number (843390927540).

Almost surely, 2^{10000102010001} is an apocalyptic number.

It is an amenable number.

10000102010001 is a deficient number, since it is larger than the sum of its proper divisors (3494152830639).

10000102010001 is a wasteful number, since it uses less digits than its factorization.

10000102010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420576.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000102010001 its reverse (10001020100001), we get a palindrome (20001122110002).

Subtracting 10000102010001 from its reverse (10001020100001), we obtain a square (918090000 = 30300²).

The spelling of 10000102010001 in words is "ten trillion, one hundred two million, ten thousand, one".