10021141004404 has 72 divisors (see below), whose sum is σ = 19599311111688. Its totient is φ = 4467174451200.

The previous prime is 10021141004401. The next prime is 10021141004417. The reversal of 10021141004404 is 40440014112001.

It can be written as a sum of positive squares in 4 ways, for example, as 7837189052004 + 2183951952400 = 2799498^2 + 1477820^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021141004401) 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 23 ways as a sum of consecutive naturals, for example, 390324912 + ... + 390350584.

It is an arithmetic number, because the mean of its divisors is an integer number (272212654329).

Almost surely, 2^{10021141004404} is an apocalyptic number.

It is an amenable number.

10021141004404 is a deficient number, since it is larger than the sum of its proper divisors (9578170107284).

10021141004404 is a wasteful number, since it uses less digits than its factorization.

10021141004404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41633 (or 41612 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10021141004404 its reverse (40440014112001), we get a palindrome (50461155116405).

The spelling of 10021141004404 in words is "ten trillion, twenty-one billion, one hundred forty-one million, four thousand, four hundred four".