111003982961 has 2 divisors, whose sum is σ = 111003982962. Its totient is φ = 111003982960.

The previous prime is 111003982949. The next prime is 111003982993. The reversal of 111003982961 is 169289300111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60839182336 + 50164800625 = 246656^2 + 223975^2 .

It is a cyclic number.

It is not a de Polignac number, because 111003982961 - 2³⁴ = 93824113777 is a prime.

It is a super-3 number, since 3×111003982961³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (111003912961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55501991480 + 55501991481.

It is an arithmetic number, because the mean of its divisors is an integer number (55501991481).

Almost surely, 2^111003982961 is an apocalyptic number.

It is an amenable number.

111003982961 is a deficient number, since it is larger than the sum of its proper divisors (1).

111003982961 is an equidigital number, since it uses as much as digits as its factorization.

111003982961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 41.

The spelling of 111003982961 in words is "one hundred eleven billion, three million, nine hundred eighty-two thousand, nine hundred sixty-one".