1122120101001 has 16 divisors (see below), whose sum is σ = 1500164340480. Its totient is φ = 746078371200.

The previous prime is 1122120100999. The next prime is 1122120101027. The reversal of 1122120101001 is 1001010212211.

It is not a de Polignac number, because 1122120101001 - 2¹ = 1122120100999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1122120101071) 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 15 ways as a sum of consecutive naturals, for example, 12326016 + ... + 12416718.

It is an arithmetic number, because the mean of its divisors is an integer number (93760271280).

Almost surely, 2^{1122120101001} is an apocalyptic number.

It is an amenable number.

1122120101001 is a deficient number, since it is larger than the sum of its proper divisors (378044239479).

1122120101001 is a wasteful number, since it uses less digits than its factorization.

1122120101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101696.

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

Adding to 1122120101001 its reverse (1001010212211), we get a palindrome (2123130313212).

The spelling of 1122120101001 in words is "one trillion, one hundred twenty-two billion, one hundred twenty million, one hundred one thousand, one".