1102221121201 has 8 divisors (see below), whose sum is σ = 1145207917800. Its totient is φ = 1059566269440.

The previous prime is 1102221121193. The next prime is 1102221121241. The reversal of 1102221121201 is 1021211222011.

It can be written as a sum of positive squares in 4 ways, for example, as 115776867600 + 986444253601 = 340260^2 + 993199^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1102221121201 - 2³ = 1102221121193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1102221121241) 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 in 7 ways as a sum of consecutive naturals, for example, 82979440 + ... + 82992721.

It is an arithmetic number, because the mean of its divisors is an integer number (143150989725).

Almost surely, 2^{1102221121201} is an apocalyptic number.

It is an amenable number.

1102221121201 is a deficient number, since it is larger than the sum of its proper divisors (42986796599).

1102221121201 is a wasteful number, since it uses less digits than its factorization.

1102221121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165972419.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1102221121201 its reverse (1021211222011), we get a palindrome (2123432343212).

The spelling of 1102221121201 in words is "one trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, two hundred one".