12121121101 has 12 divisors (see below), whose sum is σ = 12233919348. Its totient is φ = 12009309312.

The previous prime is 12121121087. The next prime is 12121121113. The reversal of 12121121101 is 10112112121.

It is a happy number.

12121121101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3076920900 + 9044200201 = 55470^2 + 95101^2 .

It is not a de Polignac number, because 12121121101 - 2¹⁵ = 12121088333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121121191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15208035 + ... + 15208831.

It is an arithmetic number, because the mean of its divisors is an integer number (1019493279).

Almost surely, 2^12121121101 is an apocalyptic number.

It is an amenable number.

12121121101 is a deficient number, since it is larger than the sum of its proper divisors (112798247).

12121121101 is an frugal number, since it uses more digits than its factorization.

12121121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12121121101 its reverse (10112112121), we get a palindrome (22233233222).

The spelling of 12121121101 in words is "twelve billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred one".