10122001201121 has 2 divisors, whose sum is σ = 10122001201122. Its totient is φ = 10122001201120.

The previous prime is 10122001201051. The next prime is 10122001201127. The reversal of 10122001201121 is 12110210022101.

10122001201121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5796349968721 + 4325651232400 = 2407561^2 + 2079820^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10122001201121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122001201096 and 10122001201105.

It is not a weakly prime, because it can be changed into another prime (10122001201127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061000600560 + 5061000600561.

It is an arithmetic number, because the mean of its divisors is an integer number (5061000600561).

Almost surely, 2^{10122001201121} is an apocalyptic number.

It is an amenable number.

10122001201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122001201121 is an equidigital number, since it uses as much as digits as its factorization.

10122001201121 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 14.

Adding to 10122001201121 its reverse (12110210022101), we get a palindrome (22232211223222).

The spelling of 10122001201121 in words is "ten trillion, one hundred twenty-two billion, one million, two hundred one thousand, one hundred twenty-one".