222112102011101 has 2 divisors, whose sum is σ = 222112102011102. Its totient is φ = 222112102011100.

The previous prime is 222112102011067. The next prime is 222112102011113. The reversal of 222112102011101 is 101110201211222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207669023847076 + 14443078164025 = 14410726^2 + 3800405^2 .

It is a cyclic number.

It is not a de Polignac number, because 222112102011101 - 2¹⁰ = 222112102010077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 222112102011101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222112102013101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111056051005550 + 111056051005551.

It is an arithmetic number, because the mean of its divisors is an integer number (111056051005551).

Almost surely, 2^{222112102011101} is an apocalyptic number.

It is an amenable number.

222112102011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222112102011101 is an equidigital number, since it uses as much as digits as its factorization.

222112102011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 222112102011101 its reverse (101110201211222), we get a palindrome (323222303222323).

The spelling of 222112102011101 in words is "two hundred twenty-two trillion, one hundred twelve billion, one hundred two million, eleven thousand, one hundred one".