112122011010101 has 2 divisors, whose sum is σ = 112122011010102. Its totient is φ = 112122011010100.

The previous prime is 112122011010019. The next prime is 112122011010151. The reversal of 112122011010101 is 101010110221211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92562390274225 + 19559620735876 = 9620935^2 + 4422626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112122011010101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112122011010151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56061005505050 + 56061005505051.

It is an arithmetic number, because the mean of its divisors is an integer number (56061005505051).

Almost surely, 2^{112122011010101} is an apocalyptic number.

It is an amenable number.

112122011010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122011010101 is an equidigital number, since it uses as much as digits as its factorization.

112122011010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 112122011010101 its reverse (101010110221211), we get a palindrome (213132121231312).

The spelling of 112122011010101 in words is "one hundred twelve trillion, one hundred twenty-two billion, eleven million, ten thousand, one hundred one".