10221012210200 has 384 divisors, whose sum is σ = 26442175092480. Its totient is φ = 3643423180800.

The previous prime is 10221012210181. The next prime is 10221012210229. The reversal of 10221012210200 is 201221012201.

It is a super-3 number, since 3×10221012210200³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12824356202 + ... + 12824356998.

It is an arithmetic number, because the mean of its divisors is an integer number (68859830970).

Almost surely, 2^{10221012210200} is an apocalyptic number.

10221012210200 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 10221012210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221087546240).

10221012210200 is an abundant number, since it is smaller than the sum of its proper divisors (16221162882280).

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

10221012210200 is a wasteful number, since it uses less digits than its factorization.

10221012210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1426 counting only the distinct ones).

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

Adding to 10221012210200 its reverse (201221012201), we get a palindrome (10422233222401).

The spelling of 10221012210200 in words is "ten trillion, two hundred twenty-one billion, twelve million, two hundred ten thousand, two hundred".