100002210200021 has 2 divisors, whose sum is σ = 100002210200022. Its totient is φ = 100002210200020.

The previous prime is 100002210199943. The next prime is 100002210200023. The reversal of 100002210200021 is 120002012200001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99927733060996 + 74477139025 = 9996386^2 + 272905^2 .

It is a cyclic number.

It is not a de Polignac number, because 100002210200021 - 2¹⁰ = 100002210198997 is a prime.

Together with 100002210200023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002210199975 and 100002210200011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100002210200023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50001105100010 + 50001105100011.

It is an arithmetic number, because the mean of its divisors is an integer number (50001105100011).

Almost surely, 2^{100002210200021} is an apocalyptic number.

It is an amenable number.

100002210200021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100002210200021 is an equidigital number, since it uses as much as digits as its factorization.

100002210200021 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100002210200021 its reverse (120002012200001), we get a palindrome (220004222400022).

The spelling of 100002210200021 in words is "one hundred trillion, two billion, two hundred ten million, two hundred thousand, twenty-one".