21121200102113 has 2 divisors, whose sum is σ = 21121200102114. Its totient is φ = 21121200102112.

The previous prime is 21121200102077. The next prime is 21121200102181. The reversal of 21121200102113 is 31120100212112.

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., 15336371804224 + 5784828297889 = 3916168^2 + 2405167^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121200102113 - 2²⁸ = 21120931666657 is a prime.

It is a super-2 number, since 2×21121200102113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21121200102091 and 21121200102100.

It is not a weakly prime, because it can be changed into another prime (21121200102713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560600051056 + 10560600051057.

It is an arithmetic number, because the mean of its divisors is an integer number (10560600051057).

Almost surely, 2^{21121200102113} is an apocalyptic number.

It is an amenable number.

21121200102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121200102113 is an equidigital number, since it uses as much as digits as its factorization.

21121200102113 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 17.

Adding to 21121200102113 its reverse (31120100212112), we get a palindrome (52241300314225).

The spelling of 21121200102113 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred million, one hundred two thousand, one hundred thirteen".