1100112121221 has 48 divisors (see below), whose sum is σ = 1588068518400. Its totient is φ = 675520731072.

The previous prime is 1100112121187. The next prime is 1100112121243. The reversal of 1100112121221 is 1221212110011.

It is a happy number.

It is not a de Polignac number, because 1100112121221 - 2¹⁹ = 1100111596933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1100112121221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100112121271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121648926 + ... + 121657968.

It is an arithmetic number, because the mean of its divisors is an integer number (33084760800).

Almost surely, 2^{1100112121221} is an apocalyptic number.

It is an amenable number.

1100112121221 is a deficient number, since it is larger than the sum of its proper divisors (487956397179).

1100112121221 is a wasteful number, since it uses less digits than its factorization.

1100112121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10698 (or 10661 counting only the distinct ones).

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

Adding to 1100112121221 its reverse (1221212110011), we get a palindrome (2321324231232).

The spelling of 1100112121221 in words is "one trillion, one hundred billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty-one".