100401120313444 has 12 divisors (see below), whose sum is σ = 186037369992684. Its totient is φ = 47247586029824.

The previous prime is 100401120313411. The next prime is 100401120313447. The reversal of 100401120313444 is 444313021104001.

It can be written as a sum of positive squares in 2 ways, for example, as 77024494849600 + 23376625463844 = 8776360^2 + 4834938^2 .

It is a super-2 number, since 2×100401120313444² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100401120313447) 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 3 ways as a sum of consecutive naturals, for example, 738243531649 + ... + 738243531784.

It is an arithmetic number, because the mean of its divisors is an integer number (15503114166057).

Almost surely, 2^{100401120313444} is an apocalyptic number.

It is an amenable number.

100401120313444 is a deficient number, since it is larger than the sum of its proper divisors (85636249679240).

100401120313444 is a wasteful number, since it uses less digits than its factorization.

100401120313444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476487063454 (or 1476487063452 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 100401120313444 its reverse (444313021104001), we get a palindrome (544714141417445).

The spelling of 100401120313444 in words is "one hundred trillion, four hundred one billion, one hundred twenty million, three hundred thirteen thousand, four hundred forty-four".