10002021002001 has 48 divisors (see below), whose sum is σ = 16582585638528. Its totient is φ = 5690770560000.

The previous prime is 10002021001937. The next prime is 10002021002033. The reversal of 10002021002001 is 10020012020001.

It is not a de Polignac number, because 10002021002001 - 2⁶ = 10002021001937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10002021002101) 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, 47983335 + ... + 48191331.

It is an arithmetic number, because the mean of its divisors is an integer number (345470534136).

Almost surely, 2^{10002021002001} is an apocalyptic number.

It is an amenable number.

10002021002001 is a deficient number, since it is larger than the sum of its proper divisors (6580564636527).

10002021002001 is a wasteful number, since it uses less digits than its factorization.

10002021002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211302 (or 211299 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10002021002001 its reverse (10020012020001), we get a palindrome (20022033022002).

The spelling of 10002021002001 in words is "ten trillion, two billion, twenty-one million, two thousand, one".