10002110021 has 8 divisors (see below), whose sum is σ = 10790290584. Its totient is φ = 9236131840.

The previous prime is 10002110003. The next prime is 10002110029. The reversal of 10002110021 is 12001120001.

It can be written as a sum of positive squares in 4 ways, for example, as 5614504900 + 4387605121 = 74930^2 + 66239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10002110021 - 2¹⁴ = 10002093637 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10002109990 and 10002110008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5549660 + ... + 5551461.

It is an arithmetic number, because the mean of its divisors is an integer number (1348786323).

Almost surely, 2^10002110021 is an apocalyptic number.

It is an amenable number.

10002110021 is a deficient number, since it is larger than the sum of its proper divisors (788180563).

10002110021 is a wasteful number, since it uses less digits than its factorization.

10002110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101191.

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

Adding to 10002110021 its reverse (12001120001), we get a palindrome (22003230022).

The spelling of 10002110021 in words is "ten billion, two million, one hundred ten thousand, twenty-one".