10202121220200 has 192 divisors, whose sum is σ = 38925016556160. Its totient is φ = 2152535454720.

The previous prime is 10202121220163. The next prime is 10202121220201. The reversal of 10202121220200 is 202212120201.

It is a super-3 number, since 3×10202121220200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202121220200.

It is not an unprimeable number, because it can be changed into a prime (10202121220201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93371419 + ... + 93480618.

It is an arithmetic number, because the mean of its divisors is an integer number (202734461230).

Almost surely, 2^{10202121220200} is an apocalyptic number.

10202121220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121220200 is an abundant number, since it is smaller than the sum of its proper divisors (28722895335960).

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

10202121220200 is a wasteful number, since it uses less digits than its factorization.

10202121220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186852076 (or 186852067 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10202121220200 its reverse (202212120201), we get a palindrome (10404333340401).

Subtracting from 10202121220200 its reverse (202212120201), we obtain a palindrome (9999909099999).

The spelling of 10202121220200 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".