111101221001 has 2 divisors, whose sum is σ = 111101221002. Its totient is φ = 111101221000.

The previous prime is 111101220953. The next prime is 111101221003. The reversal of 111101221001 is 100122101111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95759921401 + 15341299600 = 309451^2 + 123860^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111101221001 is a prime.

Together with 111101221003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (111101221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550610500 + 55550610501.

It is an arithmetic number, because the mean of its divisors is an integer number (55550610501).

Almost surely, 2^111101221001 is an apocalyptic number.

It is an amenable number.

111101221001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101221001 is an equidigital number, since it uses as much as digits as its factorization.

111101221001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 111101221001 its reverse (100122101111), we get a palindrome (211223322112).

The spelling of 111101221001 in words is "one hundred eleven billion, one hundred one million, two hundred twenty-one thousand, one".