10220000219 has 32 divisors (see below), whose sum is σ = 12297883584. Its totient is φ = 8370708480.

The previous prime is 10220000213. The next prime is 10220000227. The reversal of 10220000219 is 91200002201.

10220000219 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10220000219 - 2³² = 5925032923 is a prime.

It is a super-2 number, since 2×10220000219² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220000197 and 10220000206.

It is not an unprimeable number, because it can be changed into a prime (10220000213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007537 + ... + 1017629.

It is an arithmetic number, because the mean of its divisors is an integer number (384308862).

Almost surely, 2^10220000219 is an apocalyptic number.

10220000219 is a deficient number, since it is larger than the sum of its proper divisors (2077883365).

10220000219 is a wasteful number, since it uses less digits than its factorization.

10220000219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 10220000219 in words is "ten billion, two hundred twenty million, two hundred nineteen", and thus it is an aban number.