1102221121000 has 64 divisors (see below), whose sum is σ = 2583829244880. Its totient is φ = 440096684800.

The previous prime is 1102221120971. The next prime is 1102221121007. The reversal of 1102221121000 is 1211222011.

It can be written as a sum of positive squares in 8 ways, for example, as 4834977156 + 1097386143844 = 69534^2 + 1047562^2 .

It is not an unprimeable number, because it can be changed into a prime (1102221121007) 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 15 ways as a sum of consecutive naturals, for example, 432427 + ... + 1546426.

Almost surely, 2^{1102221121000} is an apocalyptic number.

1102221121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102221121000 is an abundant number, since it is smaller than the sum of its proper divisors (1481608123880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1102221121000 is a wasteful number, since it uses less digits than its factorization.

1102221121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979431 (or 1979417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1102221121000 its reverse (1211222011), we get a palindrome (1103432343011).

It can be divided in two parts, 1102221 and 121000, that added together give a palindrome (1223221).

The spelling of 1102221121000 in words is "one trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand".