111000011222101 has 2 divisors, whose sum is σ = 111000011222102. Its totient is φ = 111000011222100.

The previous prime is 111000011222053. The next prime is 111000011222141. The reversal of 111000011222101 is 101222110000111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110851207388100 + 148803834001 = 10528590^2 + 385751^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000011222101 - 2³¹ = 110997863738453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111000011222141) 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, 55500005611050 + 55500005611051.

It is an arithmetic number, because the mean of its divisors is an integer number (55500005611051).

Almost surely, 2^{111000011222101} is an apocalyptic number.

It is an amenable number.

111000011222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000011222101 is an equidigital number, since it uses as much as digits as its factorization.

111000011222101 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 13.

Adding to 111000011222101 its reverse (101222110000111), we get a palindrome (212222121222212).

The spelling of 111000011222101 in words is "one hundred eleven trillion, eleven million, two hundred twenty-two thousand, one hundred one".