210120100112 has 80 divisors (see below), whose sum is σ = 440356815360. Its totient is φ = 96551709696.

The previous prime is 210120100109. The next prime is 210120100117. The reversal of 210120100112 is 211001021012.

It is a junction number, because it is equal to n+sod(n) for n = 210120100093 and 210120100102.

It is not an unprimeable number, because it can be changed into a prime (210120100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77277089 + ... + 77279807.

It is an arithmetic number, because the mean of its divisors is an integer number (5504460192).

Almost surely, 2^210120100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210120100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220178407680).

210120100112 is an abundant number, since it is smaller than the sum of its proper divisors (230236715248).

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

210120100112 is a wasteful number, since it uses less digits than its factorization.

210120100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4234 counting only the distinct ones).

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

Adding to 210120100112 its reverse (211001021012), we get a palindrome (421121121124).

The spelling of 210120100112 in words is "two hundred ten billion, one hundred twenty million, one hundred thousand, one hundred twelve".