10032120154144 has 48 divisors (see below), whose sum is σ = 21911448918240. Its totient is φ = 4482765544960.

The previous prime is 10032120154129. The next prime is 10032120154153. The reversal of 10032120154144 is 44145102123001.

It is a happy number.

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 in 7 ways as a sum of consecutive naturals, for example, 241507549 + ... + 241549084.

It is an arithmetic number, because the mean of its divisors is an integer number (456488519130).

Almost surely, 2^{10032120154144} is an apocalyptic number.

It is an amenable number.

10032120154144 is an abundant number, since it is smaller than the sum of its proper divisors (11879328764096).

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

10032120154144 is a wasteful number, since it uses less digits than its factorization.

10032120154144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483056713 (or 483056705 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 10032120154144 its reverse (44145102123001), we get a palindrome (54177222277145).

The spelling of 10032120154144 in words is "ten trillion, thirty-two billion, one hundred twenty million, one hundred fifty-four thousand, one hundred forty-four".