10202212120 has 64 divisors (see below), whose sum is σ = 24053760000. Its totient is φ = 3887038848.

The previous prime is 10202212087. The next prime is 10202212129. The reversal of 10202212120 is 2121220201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10202212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202212129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196681 + ... + 243079.

It is an arithmetic number, because the mean of its divisors is an integer number (375840000).

Almost surely, 2^10202212120 is an apocalyptic number.

10202212120 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 10202212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12026880000).

10202212120 is an abundant number, since it is smaller than the sum of its proper divisors (13851547880).

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

10202212120 is a wasteful number, since it uses less digits than its factorization.

10202212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46672 (or 46668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202212120 its reverse (2121220201), we get a palindrome (12323432321).

The spelling of 10202212120 in words is "ten billion, two hundred two million, two hundred twelve thousand, one hundred twenty".