10221200200152 has 96 divisors (see below), whose sum is σ = 28713164996880. Its totient is φ = 3406417182720.

The previous prime is 10221200200117. The next prime is 10221200200153. The reversal of 10221200200152 is 25100200212201.

10221200200152 is a `hidden beast` number, since 102 + 212 + 0 + 0 + 200 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221200200153) 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, 9752152 + ... + 10749272.

Almost surely, 2^{10221200200152} is an apocalyptic number.

10221200200152 is a gapful number since it is divisible by the number (12) 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 10221200200152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14356582498440).

10221200200152 is an abundant number, since it is smaller than the sum of its proper divisors (18491964796728).

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

10221200200152 is an equidigital number, since it uses as much as digits as its factorization.

10221200200152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002415 (or 1002399 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10221200200152 its reverse (25100200212201), we get a palindrome (35321400412353).

The spelling of 10221200200152 in words is "ten trillion, two hundred twenty-one billion, two hundred million, two hundred thousand, one hundred fifty-two".