1100112121 has 2 divisors, whose sum is σ = 1100112122. Its totient is φ = 1100112120.

The previous prime is 1100112037. The next prime is 1100112133. The reversal of 1100112121 is 1212110011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 782880400 + 317231721 = 27980^2 + 17811^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100112121 - 2⁷ = 1100111993 is a prime.

It is a super-2 number, since 2×1100112121² = 2420493357542237282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100112098 and 1100112107.

It is not a weakly prime, because it can be changed into another prime (1100112191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550056060 + 550056061.

It is an arithmetic number, because the mean of its divisors is an integer number (550056061).

Almost surely, 2^1100112121 is an apocalyptic number.

It is an amenable number.

1100112121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100112121 is an equidigital number, since it uses as much as digits as its factorization.

1100112121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1100112121 is about 33167.9381481575. The cubic root of 1100112121 is about 1032.3151870766.

Adding to 1100112121 its reverse (1212110011), we get a palindrome (2312222132).

The spelling of 1100112121 in words is "one billion, one hundred million, one hundred twelve thousand, one hundred twenty-one".