112211021211101 has 2 divisors, whose sum is σ = 112211021211102. Its totient is φ = 112211021211100.

The previous prime is 112211021211049. The next prime is 112211021211109. The reversal of 112211021211101 is 101112120112211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68301976779001 + 43909044432100 = 8264501^2 + 6626390^2 .

It is a cyclic number.

It is not a de Polignac number, because 112211021211101 - 2²² = 112211017016797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112211021211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112211021211109) 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, 56105510605550 + 56105510605551.

It is an arithmetic number, because the mean of its divisors is an integer number (56105510605551).

Almost surely, 2^{112211021211101} is an apocalyptic number.

It is an amenable number.

112211021211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112211021211101 is an equidigital number, since it uses as much as digits as its factorization.

112211021211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 112211021211101 its reverse (101112120112211), we get a palindrome (213323141323312).

The spelling of 112211021211101 in words is "one hundred twelve trillion, two hundred eleven billion, twenty-one million, two hundred eleven thousand, one hundred one".