111022001011001 has 2 divisors, whose sum is σ = 111022001011002. Its totient is φ = 111022001011000.

The previous prime is 111022001010959. The next prime is 111022001011039. The reversal of 111022001011001 is 100110100220111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62810364239401 + 48211636771600 = 7925299^2 + 6943460^2 .

It is an emirp because it is prime and its reverse (100110100220111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111022001011001 - 2⁴⁶ = 40653256833337 is a prime.

It is a super-3 number, since 3×111022001011001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (111022006011001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55511000505500 + 55511000505501.

It is an arithmetic number, because the mean of its divisors is an integer number (55511000505501).

Almost surely, 2^{111022001011001} is an apocalyptic number.

It is an amenable number.

111022001011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111022001011001 is an equidigital number, since it uses as much as digits as its factorization.

111022001011001 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 111022001011001 its reverse (100110100220111), we get a palindrome (211132101231112).

The spelling of 111022001011001 in words is "one hundred eleven trillion, twenty-two billion, one million, eleven thousand, one".