2121101012113 has 2 divisors, whose sum is σ = 2121101012114. Its totient is φ = 2121101012112.

The previous prime is 2121101012081. The next prime is 2121101012183. The reversal of 2121101012113 is 3112101011212.

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., 1083978746449 + 1037122265664 = 1041143^2 + 1018392^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121101012113 - 2⁵ = 2121101012081 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121101012183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060550506056 + 1060550506057.

It is an arithmetic number, because the mean of its divisors is an integer number (1060550506057).

Almost surely, 2^{2121101012113} is an apocalyptic number.

It is an amenable number.

2121101012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121101012113 is an equidigital number, since it uses as much as digits as its factorization.

2121101012113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 2121101012113 its reverse (3112101011212), we get a palindrome (5233202023325).

Subtracting 2121101012113 from its reverse (3112101011212), we obtain a palindrome (990999999099).

The spelling of 2121101012113 in words is "two trillion, one hundred twenty-one billion, one hundred one million, twelve thousand, one hundred thirteen".