10044442400100 has 72 divisors (see below), whose sum is σ = 29169159804288. Its totient is φ = 2668634121600.

The previous prime is 10044442400017. The next prime is 10044442400131. The reversal of 10044442400100 is 100424444001.

It is a happy number.

10044442400100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61692639 + ... + 61855238.

It is an arithmetic number, because the mean of its divisors is an integer number (405127219504).

Almost surely, 2^{10044442400100} is an apocalyptic number.

10044442400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044442400100 is an abundant number, since it is smaller than the sum of its proper divisors (19124717404188).

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

10044442400100 is a wasteful number, since it uses less digits than its factorization.

10044442400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123548165 (or 123548158 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10044442400100 its reverse (100424444001), we get a palindrome (10144866844101).

The spelling of 10044442400100 in words is "ten trillion, forty-four billion, four hundred forty-two million, four hundred thousand, one hundred".