10122001001201 has 2 divisors, whose sum is σ = 10122001001202. Its totient is φ = 10122001001200.

The previous prime is 10122001001171. The next prime is 10122001001227. The reversal of 10122001001201 is 10210010022101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9856491645025 + 265509356176 = 3139505^2 + 515276^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122001001201 - 2⁴² = 5723954490097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10122001001401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061000500600 + 5061000500601.

It is an arithmetic number, because the mean of its divisors is an integer number (5061000500601).

Almost surely, 2^{10122001001201} is an apocalyptic number.

It is an amenable number.

10122001001201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122001001201 is an equidigital number, since it uses as much as digits as its factorization.

10122001001201 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 11.

Adding to 10122001001201 its reverse (10210010022101), we get a palindrome (20332011023302).

The spelling of 10122001001201 in words is "ten trillion, one hundred twenty-two billion, one million, one thousand, two hundred one".