10002002102021 has 24 divisors (see below), whose sum is σ = 10646341884864. Its totient is φ = 9388859135040.

The previous prime is 10002002101937. The next prime is 10002002102023. The reversal of 10002002102021 is 12020120020001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10002002102021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002002101993 and 10002002102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002002102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4094600 + ... + 6063806.

It is an arithmetic number, because the mean of its divisors is an integer number (443597578536).

Almost surely, 2^{10002002102021} is an apocalyptic number.

It is an amenable number.

10002002102021 is a deficient number, since it is larger than the sum of its proper divisors (644339782843).

10002002102021 is an equidigital number, since it uses as much as digits as its factorization.

10002002102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969401 (or 1969358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002002102021 its reverse (12020120020001), we get a palindrome (22022122122022).

The spelling of 10002002102021 in words is "ten trillion, two billion, two million, one hundred two thousand, twenty-one".