21201101002013 has 2 divisors, whose sum is σ = 21201101002014. Its totient is φ = 21201101002012.

The previous prime is 21201101001989. The next prime is 21201101002027. The reversal of 21201101002013 is 31020010110212.

It is an a-pointer prime, because the next prime (21201101002027) can be obtained adding 21201101002013 to its sum of digits (14).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13002969157369 + 8198131844644 = 3605963^2 + 2863238^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201101002013 - 2¹⁴ = 21201100985629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21201101002033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600550501006 + 10600550501007.

It is an arithmetic number, because the mean of its divisors is an integer number (10600550501007).

Almost surely, 2^{21201101002013} is an apocalyptic number.

It is an amenable number.

21201101002013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201101002013 is an equidigital number, since it uses as much as digits as its factorization.

21201101002013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21201101002013 its reverse (31020010110212), we get a palindrome (52221111112225).

The spelling of 21201101002013 in words is "twenty-one trillion, two hundred one billion, one hundred one million, two thousand, thirteen".