10012122001201 has 2 divisors, whose sum is σ = 10012122001202. Its totient is φ = 10012122001200.

The previous prime is 10012122001183. The next prime is 10012122001319. The reversal of 10012122001201 is 10210022121001.

10012122001201 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., 8908941496225 + 1103180504976 = 2984785^2 + 1050324^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012122001201 - 2⁵ = 10012122001169 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012122004201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006061000600 + 5006061000601.

It is an arithmetic number, because the mean of its divisors is an integer number (5006061000601).

Almost surely, 2^{10012122001201} is an apocalyptic number.

It is an amenable number.

10012122001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012122001201 is an equidigital number, since it uses as much as digits as its factorization.

10012122001201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10012122001201 its reverse (10210022121001), we get a palindrome (20222144122202).

The spelling of 10012122001201 in words is "ten trillion, twelve billion, one hundred twenty-two million, one thousand, two hundred one".