100002000021 has 64 divisors (see below), whose sum is σ = 176365240320. Its totient is φ = 48827136960.

The previous prime is 100001999947. The next prime is 100002000037. The reversal of 100002000021 is 120000200001.

It is a happy number.

It is not a de Polignac number, because 100002000021 - 2⁹ = 100001999509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001999973 and 100002000009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002000821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467700 + ... + 647106.

It is an arithmetic number, because the mean of its divisors is an integer number (2755706880).

Almost surely, 2^100002000021 is an apocalyptic number.

100002000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002000021 is a deficient number, since it is larger than the sum of its proper divisors (76363240299).

100002000021 is a wasteful number, since it uses less digits than its factorization.

100002000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179574.

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

Adding to 100002000021 its reverse (120000200001), we get a palindrome (220002200022).

The spelling of 100002000021 in words is "one hundred billion, two million, twenty-one", and thus it is an aban number.