111011122612001 has 2 divisors, whose sum is σ = 111011122612002. Its totient is φ = 111011122612000.

The previous prime is 111011122611997. The next prime is 111011122612003. The reversal of 111011122612001 is 100216221110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106217737827601 + 4793384784400 = 10306199^2 + 2189380^2 .

It is a cyclic number.

It is not a de Polignac number, because 111011122612001 - 2² = 111011122611997 is a prime.

Together with 111011122612003, 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 (111011122612003) 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, 55505561306000 + 55505561306001.

It is an arithmetic number, because the mean of its divisors is an integer number (55505561306001).

Almost surely, 2^{111011122612001} is an apocalyptic number.

It is an amenable number.

111011122612001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111011122612001 is an equidigital number, since it uses as much as digits as its factorization.

111011122612001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 111011122612001 its reverse (100216221110111), we get a palindrome (211227343722112).

The spelling of 111011122612001 in words is "one hundred eleven trillion, eleven billion, one hundred twenty-two million, six hundred twelve thousand, one".