1122442101 has 72 divisors (see below), whose sum is σ = 1856738520. Its totient is φ = 652354560.

The previous prime is 1122442093. The next prime is 1122442169. The reversal of 1122442101 is 1012442211.

1122442101 is a `hidden beast` number, since 1 + 122 + 442 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11553201 + 1110888900 = 3399^2 + 33330^2 .

It is not a de Polignac number, because 1122442101 - 2³ = 1122442093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122442171) 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 71 ways as a sum of consecutive naturals, for example, 3585921 + ... + 3586233.

It is an arithmetic number, because the mean of its divisors is an integer number (25788035).

Almost surely, 2^1122442101 is an apocalyptic number.

1122442101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122442101 is a deficient number, since it is larger than the sum of its proper divisors (734296419).

1122442101 is a wasteful number, since it uses less digits than its factorization.

1122442101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1122442101 is about 33502.8670564177. The cubic root of 1122442101 is about 1039.2530697589.

Adding to 1122442101 its reverse (1012442211), we get a palindrome (2134884312).

The spelling of 1122442101 in words is "one billion, one hundred twenty-two million, four hundred forty-two thousand, one hundred one".