10211010210200 has 288 divisors, whose sum is σ = 24632248435200. Its totient is φ = 3935343160320.

The previous prime is 10211010210173. The next prime is 10211010210221. The reversal of 10211010210200 is 201201011201.

10211010210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10387598909 + ... + 10387599891.

It is an arithmetic number, because the mean of its divisors is an integer number (85528640400).

Almost surely, 2^{10211010210200} is an apocalyptic number.

10211010210200 is a gapful number since it is divisible by the number (10) 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 10211010210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12316124217600).

10211010210200 is an abundant number, since it is smaller than the sum of its proper divisors (14421238225000).

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

10211010210200 is an equidigital number, since it uses as much as digits as its factorization.

10211010210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1241 counting only the distinct ones).

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

Adding to 10211010210200 its reverse (201201011201), we get a palindrome (10412211221401).

The spelling of 10211010210200 in words is "ten trillion, two hundred eleven billion, ten million, two hundred ten thousand, two hundred".