100120210112 has 56 divisors (see below), whose sum is σ = 214052481216. Its totient is φ = 46189099008.

The previous prime is 100120210111. The next prime is 100120210129. The reversal of 100120210112 is 211012021001.

It is a junction number, because it is equal to n+sod(n) for n = 100120210093 and 100120210102.

It is not an unprimeable number, because it can be changed into a prime (100120210111) 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 7 ways as a sum of consecutive naturals, for example, 1965833 + ... + 2016119.

It is an arithmetic number, because the mean of its divisors is an integer number (3822365736).

Almost surely, 2^100120210112 is an apocalyptic number.

It is an amenable number.

100120210112 is an abundant number, since it is smaller than the sum of its proper divisors (113932271104).

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

100120210112 is a wasteful number, since it uses less digits than its factorization.

100120210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52705 (or 52695 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100120210112 its reverse (211012021001), we get a palindrome (311132231113).

The spelling of 100120210112 in words is "one hundred billion, one hundred twenty million, two hundred ten thousand, one hundred twelve".