210200100012 has 144 divisors (see below), whose sum is σ = 615271168512. Its totient is φ = 59267669760.

The previous prime is 210200100001. The next prime is 210200100013. The reversal of 210200100012 is 210001002012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210200099967 and 210200100003.

It is not an unprimeable number, because it can be changed into a prime (210200100013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7076712 + ... + 7106352.

It is an arithmetic number, because the mean of its divisors is an integer number (4272716448).

Almost surely, 2^210200100012 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 210200100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307635584256).

210200100012 is an abundant number, since it is smaller than the sum of its proper divisors (405071068500).

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

210200100012 is a wasteful number, since it uses less digits than its factorization.

210200100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30028 (or 30023 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210200100012 its reverse (210001002012), we get a palindrome (420201102024).

The spelling of 210200100012 in words is "two hundred ten billion, two hundred million, one hundred thousand, twelve".