100002122120112 has 20 divisors (see below), whose sum is σ = 258338815477080. Its totient is φ = 33334040706688.

The previous prime is 100002122120093. The next prime is 100002122120113. The reversal of 100002122120112 is 211021221200001.

It is a junction number, because it is equal to n+sod(n) for n = 100002122120091 and 100002122120100.

It is not an unprimeable number, because it can be changed into a prime (100002122120113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1041688772037 + ... + 1041688772132.

It is an arithmetic number, because the mean of its divisors is an integer number (12916940773854).

Almost surely, 2^{100002122120112} is an apocalyptic number.

100002122120112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100002122120112 is an abundant number, since it is smaller than the sum of its proper divisors (158336693356968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100002122120112 is a wasteful number, since it uses less digits than its factorization.

100002122120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083377544180 (or 2083377544174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100002122120112 its reverse (211021221200001), we get a palindrome (311023343320113).

The spelling of 100002122120112 in words is "one hundred trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twelve".