1001801982001 has 16 divisors (see below), whose sum is σ = 1063374652800. Its totient is φ = 940525597440.

The previous prime is 1001801981993. The next prime is 1001801982029. The reversal of 1001801982001 is 1002891081001.

It is a cyclic number.

It is not a de Polignac number, because 1001801982001 - 2³ = 1001801981993 is a prime.

It is a super-2 number, since 2×1001801982001² (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 (1001801982031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12556606 + ... + 12636136.

It is an arithmetic number, because the mean of its divisors is an integer number (66460915800).

Almost surely, 2^{1001801982001} is an apocalyptic number.

It is an amenable number.

1001801982001 is a deficient number, since it is larger than the sum of its proper divisors (61572670799).

1001801982001 is a wasteful number, since it uses less digits than its factorization.

1001801982001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81384.

The product of its (nonzero) digits is 1152, while the sum is 31.

The spelling of 1001801982001 in words is "one trillion, one billion, eight hundred one million, nine hundred eighty-two thousand, one".