111112111021001 has 2 divisors, whose sum is σ = 111112111021002. Its totient is φ = 111112111021000.

The previous prime is 111112111020949. The next prime is 111112111021003. The reversal of 111112111021001 is 100120111211111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66474278886976 + 44637832134025 = 8153176^2 + 6681155^2 .

It is an emirp because it is prime and its reverse (100120111211111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111112111021001 is a prime.

Together with 111112111021003, 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 (111112111021003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55556055510500 + 55556055510501.

It is an arithmetic number, because the mean of its divisors is an integer number (55556055510501).

Almost surely, 2^{111112111021001} is an apocalyptic number.

It is an amenable number.

111112111021001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111112111021001 is an equidigital number, since it uses as much as digits as its factorization.

111112111021001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 111112111021001 its reverse (100120111211111), we get a palindrome (211232222232112).

The spelling of 111112111021001 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred eleven million, twenty-one thousand, one".