10002100000001 has 2 divisors, whose sum is σ = 10002100000002. Its totient is φ = 10002100000000.

The previous prime is 10002099999979. The next prime is 10002100000063. The reversal of 10002100000001 is 10000000120001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7841344057600 + 2160755942401 = 2800240^2 + 1469951^2 .

It is an emirp because it is prime and its reverse (10000000120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002100000001 - 2²² = 10002095805697 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002100000091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001050000000 + 5001050000001.

It is an arithmetic number, because the mean of its divisors is an integer number (5001050000001).

Almost surely, 2^{10002100000001} is an apocalyptic number.

It is an amenable number.

10002100000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002100000001 is an equidigital number, since it uses as much as digits as its factorization.

10002100000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10002100000001 its reverse (10000000120001), we get a palindrome (20002100120002).

The spelling of 10002100000001 in words is "ten trillion, two billion, one hundred million, one", and thus it is an aban number.