210010012101200 has 120 divisors (see below), whose sum is σ = 534558005439480. Its totient is φ = 79013814681600.

The previous prime is 210010012101181. The next prime is 210010012101229. The reversal of 210010012101200 is 2101210010012.

It can be written as a sum of positive squares in 12 ways, for example, as 4696305073216 + 205313707027984 = 2167096^2 + 14328772^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1496636 + ... + 20548964.

It is an arithmetic number, because the mean of its divisors is an integer number (4454650045329).

Almost surely, 2^{210010012101200} is an apocalyptic number.

210010012101200 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 210010012101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267279002719740).

210010012101200 is an abundant number, since it is smaller than the sum of its proper divisors (324547993338280).

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

210010012101200 is a wasteful number, since it uses less digits than its factorization.

210010012101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19053985 (or 19053974 counting only the distinct ones).

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

Adding to 210010012101200 its reverse (2101210010012), we get a palindrome (212111222111212).

The spelling of 210010012101200 in words is "two hundred ten trillion, ten billion, twelve million, one hundred one thousand, two hundred".