1001122201121 has 6 divisors (see below), whose sum is σ = 1164570723810. Its totient is φ = 858104743776.

The previous prime is 1001122201111. The next prime is 1001122201127. The reversal of 1001122201121 is 1211022211001.

It can be written as a sum of positive squares in only one way, i.e., 930142584721 + 70979616400 = 964439^2 + 266420^2 .

It is not a de Polignac number, because 1001122201121 - 2¹⁸ = 1001121938977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001122201096 and 1001122201105.

It is not an unprimeable number, because it can be changed into a prime (1001122201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10215532616 + ... + 10215532713.

It is an arithmetic number, because the mean of its divisors is an integer number (194095120635).

Almost surely, 2^{1001122201121} is an apocalyptic number.

It is an amenable number.

1001122201121 is a deficient number, since it is larger than the sum of its proper divisors (163448522689).

1001122201121 is an equidigital number, since it uses as much as digits as its factorization.

1001122201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20431065343 (or 20431065336 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001122201121 its reverse (1211022211001), we get a palindrome (2212144412122).

The spelling of 1001122201121 in words is "one trillion, one billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-one".