103132221120 has 168 divisors, whose sum is σ = 356571779616. Its totient is φ = 27359281152.

The previous prime is 103132221113. The next prime is 103132221139. The reversal of 103132221120 is 21122231301.

103132221120 is a `hidden beast` number, since 10 + 313 + 2 + 221 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103132221093 and 103132221102.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 463069 + ... + 648611.

Almost surely, 2^103132221120 is an apocalyptic number.

103132221120 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 103132221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178285889808).

103132221120 is an abundant number, since it is smaller than the sum of its proper divisors (253439558496).

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

103132221120 is a wasteful number, since it uses less digits than its factorization.

103132221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185759 (or 185746 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103132221120 its reverse (21122231301), we get a palindrome (124254452421).

The spelling of 103132221120 in words is "one hundred three billion, one hundred thirty-two million, two hundred twenty-one thousand, one hundred twenty".