21001101000219 has 24 divisors (see below), whose sum is σ = 30343449856512. Its totient is φ = 13996799475120.

The previous prime is 21001101000181. The next prime is 21001101000223. The reversal of 21001101000219 is 91200010110012.

It is a happy number.

It is not a de Polignac number, because 21001101000219 - 2⁷ = 21001101000091 is a prime.

It is a super-2 number, since 2×21001101000219² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21001101000259) 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 in 23 ways as a sum of consecutive naturals, for example, 561162942 + ... + 561200364.

It is an arithmetic number, because the mean of its divisors is an integer number (1264310410688).

Almost surely, 2^{21001101000219} is an apocalyptic number.

21001101000219 is a deficient number, since it is larger than the sum of its proper divisors (9342348856293).

21001101000219 is a wasteful number, since it uses less digits than its factorization.

21001101000219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53287 (or 53284 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 21001101000219 in words is "twenty-one trillion, one billion, one hundred one million, two hundred nineteen", and thus it is an aban number.