1000102112116 has 12 divisors (see below), whose sum is σ = 1783200936132. Its totient is φ = 490616130368.

The previous prime is 1000102112089. The next prime is 1000102112117. The reversal of 1000102112116 is 6112112010001.

It can be written as a sum of positive squares in 2 ways, for example, as 879412572900 + 120689539216 = 937770^2 + 347404^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1000102112116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000102112117) 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 3 ways as a sum of consecutive naturals, for example, 2358731185 + ... + 2358731608.

It is an arithmetic number, because the mean of its divisors is an integer number (148600078011).

Almost surely, 2^{1000102112116} is an apocalyptic number.

It is an amenable number.

1000102112116 is a deficient number, since it is larger than the sum of its proper divisors (783098824016).

1000102112116 is a wasteful number, since it uses less digits than its factorization.

1000102112116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4717462850 (or 4717462848 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1000102112116 its reverse (6112112010001), we get a palindrome (7112214122117).

The spelling of 1000102112116 in words is "one trillion, one hundred two million, one hundred twelve thousand, one hundred sixteen".