1101221121 has 192 divisors, whose sum is σ = 2200794624. Its totient is φ = 474439680.

The previous prime is 1101221113. The next prime is 1101221123. The reversal of 1101221121 is 1211221011.

It is not a de Polignac number, because 1101221121 - 2³ = 1101221113 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1101221097 and 1101221106.

It is not an unprimeable number, because it can be changed into a prime (1101221123) 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 191 ways as a sum of consecutive naturals, for example, 20777731 + ... + 20777783.

It is an arithmetic number, because the mean of its divisors is an integer number (11462472).

Almost surely, 2^1101221121 is an apocalyptic number.

1101221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101221121 is a deficient number, since it is larger than the sum of its proper divisors (1099573503).

1101221121 is a wasteful number, since it uses less digits than its factorization.

1101221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1101221121 is about 33184.6518890887. The cubic root of 1101221121 is about 1032.6619556893.

Adding to 1101221121 its reverse (1211221011), we get a palindrome (2312442132).

It can be divided in two parts, 1101 and 221121, that added together give a palindrome (222222).

The spelling of 1101221121 in words is "one billion, one hundred one million, two hundred twenty-one thousand, one hundred twenty-one".