100221032140 has 192 divisors, whose sum is σ = 233985024000. Its totient is φ = 35932216320.

The previous prime is 100221032129. The next prime is 100221032141. The reversal of 100221032140 is 41230122001.

It is not an unprimeable number, because it can be changed into a prime (100221032141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64284681 + ... + 64286239.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672000).

Almost surely, 2^100221032140 is an apocalyptic number.

100221032140 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 100221032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512000).

100221032140 is an abundant number, since it is smaller than the sum of its proper divisors (133763991860).

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

100221032140 is a wasteful number, since it uses less digits than its factorization.

100221032140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1758 counting only the distinct ones).

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

Adding to 100221032140 its reverse (41230122001), we get a palindrome (141451154141).

The spelling of 100221032140 in words is "one hundred billion, two hundred twenty-one million, thirty-two thousand, one hundred forty".