21121021110113 has 2 divisors, whose sum is σ = 21121021110114. Its totient is φ = 21121021110112.

The previous prime is 21121021110071. The next prime is 21121021110139. The reversal of 21121021110113 is 31101112012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21096962618449 + 24058491664 = 4593143^2 + 155108^2 .

It is a cyclic number.

It is not a de Polignac number, because 21121021110113 - 2²⁸ = 21120752674657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21121021110091 and 21121021110100.

It is not a weakly prime, because it can be changed into another prime (21121021116113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10560510555056 + 10560510555057.

It is an arithmetic number, because the mean of its divisors is an integer number (10560510555057).

Almost surely, 2^{21121021110113} is an apocalyptic number.

It is an amenable number.

21121021110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

21121021110113 is an equidigital number, since it uses as much as digits as its factorization.

21121021110113 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 17.

Adding to 21121021110113 its reverse (31101112012112), we get a palindrome (52222133122225).

The spelling of 21121021110113 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-one million, one hundred ten thousand, one hundred thirteen".