21001001201113 has 2 divisors, whose sum is σ = 21001001201114. Its totient is φ = 21001001201112.

The previous prime is 21001001201099. The next prime is 21001001201251. The reversal of 21001001201113 is 31110210010012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20863947237849 + 137053963264 = 4567707^2 + 370208^2 .

It is a cyclic number.

It is not a de Polignac number, because 21001001201113 - 2²⁹ = 21000464330201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21001001201093 and 21001001201102.

It is not a weakly prime, because it can be changed into another prime (21001001301113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500500600556 + 10500500600557.

It is an arithmetic number, because the mean of its divisors is an integer number (10500500600557).

Almost surely, 2^{21001001201113} is an apocalyptic number.

It is an amenable number.

21001001201113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21001001201113 is an equidigital number, since it uses as much as digits as its factorization.

21001001201113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 21001001201113 its reverse (31110210010012), we get a palindrome (52111211211125).

The spelling of 21001001201113 in words is "twenty-one trillion, one billion, one million, two hundred one thousand, one hundred thirteen".