21112002221201 has 2 divisors, whose sum is σ = 21112002221202. Its totient is φ = 21112002221200.

The previous prime is 21112002221147. The next prime is 21112002221269. The reversal of 21112002221201 is 10212220021112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15423056928400 + 5688945292801 = 3927220^2 + 2385151^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112002221201 - 2⁶ = 21112002221137 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21112002221201.

It is not a weakly prime, because it can be changed into another prime (21112002221291) 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, 10556001110600 + 10556001110601.

It is an arithmetic number, because the mean of its divisors is an integer number (10556001110601).

Almost surely, 2^{21112002221201} is an apocalyptic number.

It is an amenable number.

21112002221201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112002221201 is an equidigital number, since it uses as much as digits as its factorization.

21112002221201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21112002221201 its reverse (10212220021112), we get a palindrome (31324222242313).

The spelling of 21112002221201 in words is "twenty-one trillion, one hundred twelve billion, two million, two hundred twenty-one thousand, two hundred one".