10221012110200 has 96 divisors (see below), whose sum is σ = 25022260080000. Its totient is φ = 3872036822400.

The previous prime is 10221012110161. The next prime is 10221012110203. The reversal of 10221012110200 is 201121012201.

It is a super-3 number, since 3×10221012110200³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221012110203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12018651 + ... + 12840949.

It is an arithmetic number, because the mean of its divisors is an integer number (260648542500).

Almost surely, 2^{10221012110200} is an apocalyptic number.

10221012110200 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 10221012110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511130040000).

10221012110200 is an abundant number, since it is smaller than the sum of its proper divisors (14801247969800).

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

10221012110200 is a wasteful number, since it uses less digits than its factorization.

10221012110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825605 (or 825596 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10221012110200 its reverse (201121012201), we get a palindrome (10422133122401).

The spelling of 10221012110200 in words is "ten trillion, two hundred twenty-one billion, twelve million, one hundred ten thousand, two hundred".