111221020011001 has 2 divisors, whose sum is σ = 111221020011002. Its totient is φ = 111221020011000.

The previous prime is 111221020010993. The next prime is 111221020011029. The reversal of 111221020011001 is 100110020122111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82986196824976 + 28234823186025 = 9109676^2 + 5313645^2 .

It is a cyclic number.

It is not a de Polignac number, because 111221020011001 - 2³ = 111221020010993 is a prime.

It is a super-2 number, since 2×111221020011001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111221020018001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55610510005500 + 55610510005501.

It is an arithmetic number, because the mean of its divisors is an integer number (55610510005501).

Almost surely, 2^{111221020011001} is an apocalyptic number.

It is an amenable number.

111221020011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111221020011001 is an equidigital number, since it uses as much as digits as its factorization.

111221020011001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111221020011001 its reverse (100110020122111), we get a palindrome (211331040133112).

The spelling of 111221020011001 in words is "one hundred eleven trillion, two hundred twenty-one billion, twenty million, eleven thousand, one".