10002110210001 has 192 divisors, whose sum is σ = 19352685381120. Its totient is φ = 4835338260480.

The previous prime is 10002110209997. The next prime is 10002110210017. The reversal of 10002110210001 is 10001201120001.

It is a happy number.

It is not a de Polignac number, because 10002110210001 - 2² = 10002110209997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10002110210101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35891466 + ... + 36169068.

It is an arithmetic number, because the mean of its divisors is an integer number (100795236360).

Almost surely, 2^{10002110210001} is an apocalyptic number.

It is an amenable number.

10002110210001 is a deficient number, since it is larger than the sum of its proper divisors (9350575171119).

10002110210001 is a wasteful number, since it uses less digits than its factorization.

10002110210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277736 (or 277733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10002110210001 its reverse (10001201120001), we get a palindrome (20003311330002).

The spelling of 10002110210001 in words is "ten trillion, two billion, one hundred ten million, two hundred ten thousand, one".