210200100110000 has 2400 divisors, whose sum is σ = 713795538411648. Its totient is φ = 58291200000000.

The previous prime is 210200100109999. The next prime is 210200100110003. The reversal of 210200100110000 is 11001002012.

It is a super-3 number, since 3×210200100110000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 210200100110000.

It is not an unprimeable number, because it can be changed into a prime (210200100110003) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 455965509770 + ... + 455965510230.

Almost surely, 2^{210200100110000} is an apocalyptic number.

210200100110000 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 210200100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356897769205824).

210200100110000 is an abundant number, since it is smaller than the sum of its proper divisors (503595438301648).

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

210200100110000 is a wasteful number, since it uses less digits than its factorization.

210200100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210200100110000 its reverse (11001002012), we get a palindrome (210211101112012).

The spelling of 210200100110000 in words is "two hundred ten trillion, two hundred billion, one hundred million, one hundred ten thousand".