210200112112120 has 128 divisors (see below), whose sum is σ = 511506920010240. Its totient is φ = 77280865320960.

The previous prime is 210200112112099. The next prime is 210200112112157. The reversal of 210200112112120 is 21211211002012.

210200112112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210200112112094 and 210200112112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1070510592 + ... + 1070706928.

It is an arithmetic number, because the mean of its divisors is an integer number (3996147812580).

Almost surely, 2^{210200112112120} is an apocalyptic number.

210200112112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210200112112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255753460005120).

210200112112120 is an abundant number, since it is smaller than the sum of its proper divisors (301306807898120).

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

210200112112120 is a wasteful number, since it uses less digits than its factorization.

210200112112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205145 (or 205141 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210200112112120 its reverse (21211211002012), we get a palindrome (231411323114132).

The spelling of 210200112112120 in words is "two hundred ten trillion, two hundred billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".