10002000021 has 16 divisors (see below), whose sum is σ = 14367991680. Its totient is φ = 6152443200.

The previous prime is 10001999983. The next prime is 10002000059. The reversal of 10002000021 is 12000020001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001999983) and next prime (10002000059).

It is not a de Polignac number, because 10002000021 - 2¹⁴ = 10001983637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10001999973 and 10002000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39496 + ... + 146846.

It is an arithmetic number, because the mean of its divisors is an integer number (897999480).

Almost surely, 2^10002000021 is an apocalyptic number.

It is an amenable number.

10002000021 is a deficient number, since it is larger than the sum of its proper divisors (4365991659).

10002000021 is a wasteful number, since it uses less digits than its factorization.

10002000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109756.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10002000021 its reverse (12000020001), we get a palindrome (22002020022).

The spelling of 10002000021 in words is "ten billion, two million, twenty-one", and thus it is an aban number and an uban number.