211144020302401 has 2 divisors, whose sum is σ = 211144020302402. Its totient is φ = 211144020302400.

The previous prime is 211144020302357. The next prime is 211144020302431. The reversal of 211144020302401 is 104203020441112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172153686940225 + 38990333362176 = 13120735^2 + 6244224^2 .

It is a cyclic number.

It is not a de Polignac number, because 211144020302401 - 2¹³ = 211144020294209 is a prime.

It is not a weakly prime, because it can be changed into another prime (211144020302431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105572010151200 + 105572010151201.

It is an arithmetic number, because the mean of its divisors is an integer number (105572010151201).

Almost surely, 2^{211144020302401} is an apocalyptic number.

It is an amenable number.

211144020302401 is a deficient number, since it is larger than the sum of its proper divisors (1).

211144020302401 is an equidigital number, since it uses as much as digits as its factorization.

211144020302401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 211144020302401 its reverse (104203020441112), we get a palindrome (315347040743513).

The spelling of 211144020302401 in words is "two hundred eleven trillion, one hundred forty-four billion, twenty million, three hundred two thousand, four hundred one".