112211221112101 has 2 divisors, whose sum is σ = 112211221112102. Its totient is φ = 112211221112100.

The previous prime is 112211221112087. The next prime is 112211221112113. The reversal of 112211221112101 is 101211122112211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79046591364225 + 33164629747876 = 8890815^2 + 5758874^2 .

It is a cyclic number.

It is not a de Polignac number, because 112211221112101 - 2¹⁵ = 112211221079333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112211221112141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56105610556050 + 56105610556051.

It is an arithmetic number, because the mean of its divisors is an integer number (56105610556051).

Almost surely, 2^{112211221112101} is an apocalyptic number.

It is an amenable number.

112211221112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

112211221112101 is an equidigital number, since it uses as much as digits as its factorization.

112211221112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 112211221112101 its reverse (101211122112211), we get a palindrome (213422343224312).

The spelling of 112211221112101 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred twenty-one million, one hundred twelve thousand, one hundred one".