1021112112113 has 2 divisors, whose sum is σ = 1021112112114. Its totient is φ = 1021112112112.

The previous prime is 1021112112091. The next prime is 1021112112143. The reversal of 1021112112113 is 3112112111201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 763715192464 + 257396919649 = 873908^2 + 507343^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021112112113 - 2⁶ = 1021112112049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1021112112091 and 1021112112100.

It is not a weakly prime, because it can be changed into another prime (1021112112143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510556056056 + 510556056057.

It is an arithmetic number, because the mean of its divisors is an integer number (510556056057).

Almost surely, 2^{1021112112113} is an apocalyptic number.

It is an amenable number.

1021112112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021112112113 is an equidigital number, since it uses as much as digits as its factorization.

1021112112113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 1021112112113 its reverse (3112112111201), we get a palindrome (4133224223314).

The spelling of 1021112112113 in words is "one trillion, twenty-one billion, one hundred twelve million, one hundred twelve thousand, one hundred thirteen".