1012102819 has 16 divisors (see below), whose sum is σ = 1248442048. Its totient is φ = 798999552.

The previous prime is 1012102781. The next prime is 1012102829. The reversal of 1012102819 is 9182012101.

It is not a de Polignac number, because 1012102819 - 2⁹ = 1012102307 is a prime.

It is a super-2 number, since 2×1012102819² = 2048704232455493522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1012102793 and 1012102802.

It is not an unprimeable number, because it can be changed into a prime (1012102829) 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 15 ways as a sum of consecutive naturals, for example, 29419 + ... + 53755.

It is an arithmetic number, because the mean of its divisors is an integer number (78027628).

Almost surely, 2^1012102819 is an apocalyptic number.

1012102819 is a deficient number, since it is larger than the sum of its proper divisors (236339229).

1012102819 is a wasteful number, since it uses less digits than its factorization.

1012102819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24814.

The product of its (nonzero) digits is 288, while the sum is 25.

The square root of 1012102819 is about 31813.5634439149. The cubic root of 1012102819 is about 1004.0181061982.

The spelling of 1012102819 in words is "one billion, twelve million, one hundred two thousand, eight hundred nineteen".