1011201221121 has 128 divisors (see below), whose sum is σ = 1726687936512. Its totient is φ = 512179200000.

The previous prime is 1011201221089. The next prime is 1011201221171. The reversal of 1011201221121 is 1211221021101.

It is a happy number.

It is not a de Polignac number, because 1011201221121 - 2⁵ = 1011201221089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1011201221121.

It is not an unprimeable number, because it can be changed into a prime (1011201221171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 252735121 + ... + 252739121.

It is an arithmetic number, because the mean of its divisors is an integer number (13489749504).

Almost surely, 2^{1011201221121} is an apocalyptic number.

It is an amenable number.

1011201221121 is a deficient number, since it is larger than the sum of its proper divisors (715486715391).

1011201221121 is a wasteful number, since it uses less digits than its factorization.

1011201221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383.

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

Adding to 1011201221121 its reverse (1211221021101), we get a palindrome (2222422242222).

The spelling of 1011201221121 in words is "one trillion, eleven billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-one".