1100221121121 has 16 divisors (see below), whose sum is σ = 1540196328000. Its totient is φ = 697618329408.

The previous prime is 1100221121089. The next prime is 1100221121171. The reversal of 1100221121121 is 1211211220011.

It is a happy number.

It is not a de Polignac number, because 1100221121121 - 2⁵ = 1100221121089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1100221121121.

It is not an unprimeable number, because it can be changed into a prime (1100221121171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94368946 + ... + 94380603.

It is an arithmetic number, because the mean of its divisors is an integer number (96262270500).

Almost surely, 2^{1100221121121} is an apocalyptic number.

It is an amenable number.

1100221121121 is a deficient number, since it is larger than the sum of its proper divisors (439975206879).

1100221121121 is a wasteful number, since it uses less digits than its factorization.

1100221121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188749648.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1100221121121 its reverse (1211211220011), we get a palindrome (2311432341132).

The spelling of 1100221121121 in words is "one trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".