1001200021001 has 16 divisors (see below), whose sum is σ = 1042784214528. Its totient is φ = 960198624000.

The previous prime is 1001200020967. The next prime is 1001200021027.

1001200021001 is nontrivially palindromic in base 10.

1001200021001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1001200021001 - 2³⁰ = 1000126279177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001200021001.

It is not an unprimeable number, because it can be changed into a prime (1001200023001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34668770 + ... + 34697636.

It is an arithmetic number, because the mean of its divisors is an integer number (65174013408).

Almost surely, 2^{1001200021001} is an apocalyptic number.

It is an amenable number.

1001200021001 is a deficient number, since it is larger than the sum of its proper divisors (41584193527).

1001200021001 is a wasteful number, since it uses less digits than its factorization.

1001200021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38912.

The product of its (nonzero) digits is 4, while the sum is 8.

It can be divided in two parts, 10012000 and 21001, that added together give a palindrome (10033001).

The spelling of 1001200021001 in words is "one trillion, one billion, two hundred million, twenty-one thousand, one".