10210212210200 has 192 divisors, whose sum is σ = 24994257765120. Its totient is φ = 3873512448000.

The previous prime is 10210212210173. The next prime is 10210212210239. The reversal of 10210212210200 is 201221201201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307881620 + ... + 307914780.

It is an arithmetic number, because the mean of its divisors is an integer number (130178425860).

Almost surely, 2^{10210212210200} is an apocalyptic number.

10210212210200 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 10210212210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12497128882560).

10210212210200 is an abundant number, since it is smaller than the sum of its proper divisors (14784045554920).

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

10210212210200 is a wasteful number, since it uses less digits than its factorization.

10210212210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34198 (or 34189 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10210212210200 its reverse (201221201201), we get a palindrome (10411433411401).

The spelling of 10210212210200 in words is "ten trillion, two hundred ten billion, two hundred twelve million, two hundred ten thousand, two hundred".