210010011020200 has 96 divisors (see below), whose sum is σ = 490421988271800. Its totient is φ = 83634411560960.

The previous prime is 210010011020179. The next prime is 210010011020239. The reversal of 210010011020200 is 2020110010012.

It can be written as a sum of positive squares in 12 ways, for example, as 42520910889636 + 167489100130564 = 6520806^2 + 12941758^2 .

It is a super-3 number, since 3×210010011020200³ (a number of 44 digits) contains 333 as substring.

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

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, 438406416 + ... + 438885184.

Almost surely, 2^{210010011020200} is an apocalyptic number.

210010011020200 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 210010011020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245210994135900).

210010011020200 is an abundant number, since it is smaller than the sum of its proper divisors (280411977251600).

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

210010011020200 is a wasteful number, since it uses less digits than its factorization.

210010011020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488431 (or 488422 counting only the distinct ones).

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

Adding to 210010011020200 its reverse (2020110010012), we get a palindrome (212030121030212).

The spelling of 210010011020200 in words is "two hundred ten trillion, ten billion, eleven million, twenty thousand, two hundred".