100001220012112 has 40 divisors (see below), whose sum is σ = 195753086731496. Its totient is φ = 49484311658496.

The previous prime is 100001220012077. The next prime is 100001220012163. The reversal of 100001220012112 is 211210022100001.

It can be written as a sum of positive squares in 4 ways, for example, as 8950005622336 + 91051214389776 = 2991656^2 + 9542076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100001220012092 and 100001220012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98033728 + ... + 99048544.

Almost surely, 2^{100001220012112} is an apocalyptic number.

It is an amenable number.

100001220012112 is a deficient number, since it is larger than the sum of its proper divisors (95751866719384).

100001220012112 is a wasteful number, since it uses less digits than its factorization.

100001220012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078415 (or 1078409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100001220012112 its reverse (211210022100001), we get a palindrome (311211242112113).

The spelling of 100001220012112 in words is "one hundred trillion, one billion, two hundred twenty million, twelve thousand, one hundred twelve".