10021333400144 has 80 divisors (see below), whose sum is σ = 21600188749440. Its totient is φ = 4465848545280.

The previous prime is 10021333400131. The next prime is 10021333400189. The reversal of 10021333400144 is 44100433312001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189689 + ... + 4480920.

It is an arithmetic number, because the mean of its divisors is an integer number (270002359368).

Almost surely, 2^{10021333400144} is an apocalyptic number.

It is an amenable number.

10021333400144 is an abundant number, since it is smaller than the sum of its proper divisors (11578855349296).

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

10021333400144 is a wasteful number, since it uses less digits than its factorization.

10021333400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670868 (or 4670862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10021333400144 its reverse (44100433312001), we get a palindrome (54121766712145).

The spelling of 10021333400144 in words is "ten trillion, twenty-one billion, three hundred thirty-three million, four hundred thousand, one hundred forty-four".