10002120011201 has 2 divisors, whose sum is σ = 10002120011202. Its totient is φ = 10002120011200.

The previous prime is 10002120011183. The next prime is 10002120011239. The reversal of 10002120011201 is 10211002120001.

10002120011201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9224462352400 + 777657658801 = 3037180^2 + 881849^2 .

It is an emirp because it is prime and its reverse (10211002120001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002120011201 - 2⁶ = 10002120011137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002120011801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060005600 + 5001060005601.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060005601).

Almost surely, 2^{10002120011201} is an apocalyptic number.

It is an amenable number.

10002120011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002120011201 is an equidigital number, since it uses as much as digits as its factorization.

10002120011201 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 11.

Adding to 10002120011201 its reverse (10211002120001), we get a palindrome (20213122131202).

The spelling of 10002120011201 in words is "ten trillion, two billion, one hundred twenty million, eleven thousand, two hundred one".