10122018819 has 32 divisors (see below), whose sum is σ = 14995169280. Its totient is φ = 6021444000.

The previous prime is 10122018791. The next prime is 10122018883. The reversal of 10122018819 is 91881022101.

10122018819 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10122018819 - 2⁷ = 10122018691 is a prime.

It is a super-2 number, since 2×10122018819² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 10122018819.

It is not an unprimeable number, because it can be changed into a prime (10122018899) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411894 + ... + 1419044.

It is an arithmetic number, because the mean of its divisors is an integer number (468599040).

Almost surely, 2^10122018819 is an apocalyptic number.

10122018819 is a deficient number, since it is larger than the sum of its proper divisors (4873150461).

10122018819 is a wasteful number, since it uses less digits than its factorization.

10122018819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7951.

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 10122018819 in words is "ten billion, one hundred twenty-two million, eighteen thousand, eight hundred nineteen".