1001121122001 has 48 divisors (see below), whose sum is σ = 1805794293632. Its totient is φ = 480058064640.

The previous prime is 1001121121943. The next prime is 1001121122021. The reversal of 1001121122001 is 1002211211001.

It is not a de Polignac number, because 1001121122001 - 2⁷ = 1001121121873 is a prime.

It is a super-3 number, since 3×1001121122001³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1001121122021) 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 47 ways as a sum of consecutive naturals, for example, 15120316 + ... + 15186381.

Almost surely, 2^{1001121122001} is an apocalyptic number.

1001121122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001121122001 is a deficient number, since it is larger than the sum of its proper divisors (804673171631).

1001121122001 is a wasteful number, since it uses less digits than its factorization.

1001121122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30306742 (or 30306731 counting only the distinct ones).

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

Adding to 1001121122001 its reverse (1002211211001), we get a palindrome (2003332333002).

The spelling of 1001121122001 in words is "one trillion, one billion, one hundred twenty-one million, one hundred twenty-two thousand, one".