3321100021001 has 24 divisors (see below), whose sum is σ = 4032379946880. Its totient is φ = 2722153866432.

The previous prime is 3321100020989. The next prime is 3321100021013. The reversal of 3321100021001 is 1001200011233.

It is an interprime number because it is at equal distance from previous prime (3321100020989) and next prime (3321100021013).

It is not a de Polignac number, because 3321100021001 - 2¹⁰ = 3321100019977 is a prime.

It is a super-3 number, since 3×3321100021001³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3321100021061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3795125 + ... + 4587501.

It is an arithmetic number, because the mean of its divisors is an integer number (168015831120).

Almost surely, 2^{3321100021001} is an apocalyptic number.

It is an amenable number.

3321100021001 is a deficient number, since it is larger than the sum of its proper divisors (711279925879).

3321100021001 is a wasteful number, since it uses less digits than its factorization.

3321100021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796133 (or 796126 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 3321100021001 its reverse (1001200011233), we get a palindrome (4322300032234).

The spelling of 3321100021001 in words is "three trillion, three hundred twenty-one billion, one hundred million, twenty-one thousand, one".