201101221002013 has 2 divisors, whose sum is σ = 201101221002014. Its totient is φ = 201101221002012.

The previous prime is 201101221001983. The next prime is 201101221002023. The reversal of 201101221002013 is 310200122101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177340305018724 + 23760915983289 = 13316918^2 + 4874517^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101221002013 - 2⁵ = 201101221001981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201101221002023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550610501006 + 100550610501007.

It is an arithmetic number, because the mean of its divisors is an integer number (100550610501007).

Almost surely, 2^{201101221002013} is an apocalyptic number.

It is an amenable number.

201101221002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101221002013 is an equidigital number, since it uses as much as digits as its factorization.

201101221002013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 201101221002013 its reverse (310200122101102), we get a palindrome (511301343103115).

The spelling of 201101221002013 in words is "two hundred one trillion, one hundred one billion, two hundred twenty-one million, two thousand, thirteen".