10121121221201 has 2 divisors, whose sum is σ = 10121121221202. Its totient is φ = 10121121221200.

The previous prime is 10121121221177. The next prime is 10121121221231. The reversal of 10121121221201 is 10212212112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9218364702976 + 902756518225 = 3036176^2 + 950135^2 .

It is an emirp because it is prime and its reverse (10212212112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121121221201 - 2¹⁸ = 10121120959057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10121121221201.

It is not a weakly prime, because it can be changed into another prime (10121121221231) 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, 5060560610600 + 5060560610601.

It is an arithmetic number, because the mean of its divisors is an integer number (5060560610601).

Almost surely, 2^{10121121221201} is an apocalyptic number.

It is an amenable number.

10121121221201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121121221201 is an equidigital number, since it uses as much as digits as its factorization.

10121121221201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10121121221201 its reverse (10212212112101), we get a palindrome (20333333333302).

The spelling of 10121121221201 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred one".