10002102102001 has 2 divisors, whose sum is σ = 10002102102002. Its totient is φ = 10002102102000.

The previous prime is 10002102101963. The next prime is 10002102102011. The reversal of 10002102102001 is 10020120120001.

It is an a-pointer prime, because the next prime (10002102102011) can be obtained adding 10002102102001 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6616207695601 + 3385894406400 = 2572199^2 + 1840080^2 .

It is an emirp because it is prime and its reverse (10020120120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002102102001 - 2¹⁷ = 10002101970929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002102102011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001051051000 + 5001051051001.

It is an arithmetic number, because the mean of its divisors is an integer number (5001051051001).

Almost surely, 2^{10002102102001} is an apocalyptic number.

It is an amenable number.

10002102102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002102102001 is an equidigital number, since it uses as much as digits as its factorization.

10002102102001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002102102001 its reverse (10020120120001), we get a palindrome (20022222222002).

The spelling of 10002102102001 in words is "ten trillion, two billion, one hundred two million, one hundred two thousand, one".