1001011222001 has 6 divisors (see below), whose sum is σ = 1164441625650. Its totient is φ = 858009618816.

The previous prime is 1001011221997. The next prime is 1001011222007. The reversal of 1001011222001 is 1002221101001.

1001011222001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 672883887025 + 328127334976 = 820295^2 + 572824^2 .

It is not a de Polignac number, because 1001011222001 - 2² = 1001011221997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001011222007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10214400176 + ... + 10214400273.

It is an arithmetic number, because the mean of its divisors is an integer number (194073604275).

Almost surely, 2^{1001011222001} is an apocalyptic number.

It is an amenable number.

1001011222001 is a deficient number, since it is larger than the sum of its proper divisors (163430403649).

1001011222001 is an equidigital number, since it uses as much as digits as its factorization.

1001011222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20428800463 (or 20428800456 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001011222001 its reverse (1002221101001), we get a palindrome (2003232323002).

The spelling of 1001011222001 in words is "one trillion, one billion, eleven million, two hundred twenty-two thousand, one".