202232101120 has 144 divisors (see below), whose sum is σ = 553925635200. Its totient is φ = 69297242112.

The previous prime is 202232101103. The next prime is 202232101121. The reversal of 202232101120 is 21101232202.

It is a happy number.

202232101120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202232101094 and 202232101103.

It is not an unprimeable number, because it can be changed into a prime (202232101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18801664 + ... + 18812416.

It is an arithmetic number, because the mean of its divisors is an integer number (3846705800).

Almost surely, 2^202232101120 is an apocalyptic number.

202232101120 is a gapful number since it is divisible by the number (20) 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 202232101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276962817600).

202232101120 is an abundant number, since it is smaller than the sum of its proper divisors (351693534080).

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

202232101120 is a wasteful number, since it uses less digits than its factorization.

202232101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880 (or 12866 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 202232101120 its reverse (21101232202), we get a palindrome (223333333322).

The spelling of 202232101120 in words is "two hundred two billion, two hundred thirty-two million, one hundred one thousand, one hundred twenty".