10002120201001 has 2 divisors, whose sum is σ = 10002120201002. Its totient is φ = 10002120201000.

The previous prime is 10002120200939. The next prime is 10002120201041. The reversal of 10002120201001 is 10010202120001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6373095201001 + 3629025000000 = 2524499^2 + 1905000^2 .

It is an emirp because it is prime and its reverse (10010202120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002120201001 - 2²¹ = 10002118103849 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002120201041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060100500 + 5001060100501.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060100501).

Almost surely, 2^{10002120201001} is an apocalyptic number.

It is an amenable number.

10002120201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120201001 is an equidigital number, since it uses as much as digits as its factorization.

10002120201001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10002120201001 its reverse (10010202120001), we get a palindrome (20012322321002).

The spelling of 10002120201001 in words is "ten trillion, two billion, one hundred twenty million, two hundred one thousand, one".