21100222012013 has 2 divisors, whose sum is σ = 21100222012014. Its totient is φ = 21100222012012.

The previous prime is 21100222011971. The next prime is 21100222012061. The reversal of 21100222012013 is 31021022200112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14019497924644 + 7080724087369 = 3744262^2 + 2660963^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21100222012013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21100222011982 and 21100222012000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21100222012913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550111006006 + 10550111006007.

It is an arithmetic number, because the mean of its divisors is an integer number (10550111006007).

Almost surely, 2^{21100222012013} is an apocalyptic number.

It is an amenable number.

21100222012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

21100222012013 is an equidigital number, since it uses as much as digits as its factorization.

21100222012013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 21100222012013 its reverse (31021022200112), we get a palindrome (52121244212125).

The spelling of 21100222012013 in words is "twenty-one trillion, one hundred billion, two hundred twenty-two million, twelve thousand, thirteen".