2002100021189 has 2 divisors, whose sum is σ = 2002100021190. Its totient is φ = 2002100021188.

The previous prime is 2002100021003. The next prime is 2002100021191. The reversal of 2002100021189 is 9811200012002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1280903332900 + 721196688289 = 1131770^2 + 849233^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002100021189 - 2³⁶ = 1933380544453 is a prime.

Together with 2002100021191, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002100024189) 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 as a sum of consecutive naturals, namely, 1001050010594 + 1001050010595.

It is an arithmetic number, because the mean of its divisors is an integer number (1001050010595).

Almost surely, 2^{2002100021189} is an apocalyptic number.

It is an amenable number.

2002100021189 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002100021189 is an equidigital number, since it uses as much as digits as its factorization.

2002100021189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 2002100021189 in words is "two trillion, two billion, one hundred million, twenty-one thousand, one hundred eighty-nine".