1001122011201 has 16 divisors (see below), whose sum is σ = 1439242602560. Its totient is φ = 615331909440.

The previous prime is 1001122011187. The next prime is 1001122011209. The reversal of 1001122011201 is 1021102211001.

It is not a de Polignac number, because 1001122011201 - 2⁶ = 1001122011137 is a prime.

It is a super-2 number, since 2×1001122011201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001122011209) 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, 15450055 + ... + 15514716.

It is an arithmetic number, because the mean of its divisors is an integer number (89952662660).

Almost surely, 2^{1001122011201} is an apocalyptic number.

It is an amenable number.

1001122011201 is a deficient number, since it is larger than the sum of its proper divisors (438120591359).

1001122011201 is a wasteful number, since it uses less digits than its factorization.

1001122011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30965616.

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

Adding to 1001122011201 its reverse (1021102211001), we get a palindrome (2022224222202).

The spelling of 1001122011201 in words is "one trillion, one billion, one hundred twenty-two million, eleven thousand, two hundred one".