10005052122420 has 48 divisors (see below), whose sum is σ = 28014661539648. Its totient is φ = 2667964794880.

The previous prime is 10005052122383. The next prime is 10005052122421. The reversal of 10005052122420 is 2422125050001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005052122421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813012 + ... + 4826708.

It is an arithmetic number, because the mean of its divisors is an integer number (583638782076).

Almost surely, 2^{10005052122420} is an apocalyptic number.

10005052122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005052122420 is an abundant number, since it is smaller than the sum of its proper divisors (18009609417228).

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

10005052122420 is a wasteful number, since it uses less digits than its factorization.

10005052122420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069040 (or 3069038 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 10005052122420 its reverse (2422125050001), we get a palindrome (12427177172421).

The spelling of 10005052122420 in words is "ten trillion, five billion, fifty-two million, one hundred twenty-two thousand, four hundred twenty".