210100200010120 has 192 divisors, whose sum is σ = 551928675818160. Its totient is φ = 71769341952000.

The previous prime is 210100200010111. The next prime is 210100200010153. The reversal of 210100200010120 is 21010002001012.

It can be written as a sum of positive squares in 8 ways, for example, as 85235621794596 + 124864578215524 = 9232314^2 + 11174282^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 210100200010097 and 210100200010106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5968568520 + ... + 5968603720.

Almost surely, 2^{210100200010120} is an apocalyptic number.

210100200010120 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 210100200010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275964337909080).

210100200010120 is an abundant number, since it is smaller than the sum of its proper divisors (341828475808040).

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

210100200010120 is a wasteful number, since it uses less digits than its factorization.

210100200010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46344 (or 46333 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210100200010120 its reverse (21010002001012), we get a palindrome (231110202011132).

The spelling of 210100200010120 in words is "two hundred ten trillion, one hundred billion, two hundred million, ten thousand, one hundred twenty".