10000102011001 has 16 divisors (see below), whose sum is σ = 10217404183168. Its totient is φ = 9784528358400.

The previous prime is 10000102010989. The next prime is 10000102011037. The reversal of 10000102011001 is 10011020100001.

It is a cyclic number.

It is not a de Polignac number, because 10000102011001 - 2⁹ = 10000102010489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000102011301) 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, 321045910 + ... + 321077056.

It is an arithmetic number, because the mean of its divisors is an integer number (638587761448).

Almost surely, 2^{10000102011001} is an apocalyptic number.

It is an amenable number.

10000102011001 is a deficient number, since it is larger than the sum of its proper divisors (217302172167).

10000102011001 is a wasteful number, since it uses less digits than its factorization.

10000102011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58672.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10000102011001 its reverse (10011020100001), we get a palindrome (20011122111002).

The spelling of 10000102011001 in words is "ten trillion, one hundred two million, eleven thousand, one".