1100222100961 has 2 divisors, whose sum is σ = 1100222100962. Its totient is φ = 1100222100960.

The previous prime is 1100222100953. The next prime is 1100222101001. The reversal of 1100222100961 is 1690012220011.

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., 726192004561 + 374030096400 = 852169^2 + 611580^2 .

It is an emirp because it is prime and its reverse (1690012220011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1100222100961 - 2³ = 1100222100953 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100222100361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550111050480 + 550111050481.

It is an arithmetic number, because the mean of its divisors is an integer number (550111050481).

Almost surely, 2^{1100222100961} is an apocalyptic number.

It is an amenable number.

1100222100961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100222100961 is an equidigital number, since it uses as much as digits as its factorization.

1100222100961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 1100222100961 its reverse (1690012220011), we get a palindrome (2790234320972).

The spelling of 1100222100961 in words is "one trillion, one hundred billion, two hundred twenty-two million, one hundred thousand, nine hundred sixty-one".