1101111011221 has 16 divisors (see below), whose sum is σ = 1211997218544. Its totient is φ = 994086572544.

The previous prime is 1101111011213. The next prime is 1101111011227. The reversal of 1101111011221 is 1221101111011.

It can be written as a sum of positive squares in 8 ways, for example, as 491947932100 + 609163079121 = 701390^2 + 780489^2 .

It is not a de Polignac number, because 1101111011221 - 2³ = 1101111011213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111011227) 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, 2302296 + ... + 2739121.

It is an arithmetic number, because the mean of its divisors is an integer number (75749826159).

Almost surely, 2^{1101111011221} is an apocalyptic number.

It is an amenable number.

1101111011221 is a deficient number, since it is larger than the sum of its proper divisors (110886207323).

1101111011221 is a wasteful number, since it uses less digits than its factorization.

1101111011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041800.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 1101111011221 its reverse (1221101111011), we get a palindrome (2322212122232).

The spelling of 1101111011221 in words is "one trillion, one hundred one billion, one hundred eleven million, eleven thousand, two hundred twenty-one".