100440401312 has 12 divisors (see below), whose sum is σ = 197742040146. Its totient is φ = 50220200640.

The previous prime is 100440401267. The next prime is 100440401329. The reversal of 100440401312 is 213104044001.

It can be written as a sum of positive squares in only one way, i.e., 82601059216 + 17839342096 = 287404^2 + 133564^2 .

It is a super-2 number, since 2×100440401312² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1569381239 + ... + 1569381302.

Almost surely, 2^100440401312 is an apocalyptic number.

It is an amenable number.

100440401312 is a deficient number, since it is larger than the sum of its proper divisors (97301638834).

100440401312 is an equidigital number, since it uses as much as digits as its factorization.

100440401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138762551 (or 3138762543 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100440401312 its reverse (213104044001), we get a palindrome (313544445313).

The spelling of 100440401312 in words is "one hundred billion, four hundred forty million, four hundred one thousand, three hundred twelve".