100053221140 has 96 divisors (see below), whose sum is σ = 216393962400. Its totient is φ = 38845163520.

The previous prime is 100053221137. The next prime is 100053221141. The reversal of 100053221140 is 41122350001.

It can be written as a sum of positive squares in 16 ways, for example, as 51752610064 + 48300611076 = 227492^2 + 219774^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100053221141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35770222 + ... + 35773018.

It is an arithmetic number, because the mean of its divisors is an integer number (2254103775).

Almost surely, 2^100053221140 is an apocalyptic number.

100053221140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100053221140 is an abundant number, since it is smaller than the sum of its proper divisors (116340741260).

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

100053221140 is a wasteful number, since it uses less digits than its factorization.

100053221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 100053221140 its reverse (41122350001), we get a palindrome (141175571141).

The spelling of 100053221140 in words is "one hundred billion, fifty-three million, two hundred twenty-one thousand, one hundred forty".