10000120102001 has 2 divisors, whose sum is σ = 10000120102002. Its totient is φ = 10000120102000.

The previous prime is 10000120101889. The next prime is 10000120102039. The reversal of 10000120102001 is 10020102100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9838416390625 + 161703711376 = 3136625^2 + 402124^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000120102001 - 2²² = 10000115907697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10000120102001.

It is not a weakly prime, because it can be changed into another prime (10000120102061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000060051000 + 5000060051001.

It is an arithmetic number, because the mean of its divisors is an integer number (5000060051001).

Almost surely, 2^{10000120102001} is an apocalyptic number.

It is an amenable number.

10000120102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000120102001 is an equidigital number, since it uses as much as digits as its factorization.

10000120102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10000120102001 its reverse (10020102100001), we get a palindrome (20020222202002).

The spelling of 10000120102001 in words is "ten trillion, one hundred twenty million, one hundred two thousand, one".