10204213124 has 24 divisors (see below), whose sum is σ = 20442417408. Its totient is φ = 4365950400.

The previous prime is 10204213121. The next prime is 10204213139. The reversal of 10204213124 is 42131240201.

10204213124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10204213096 and 10204213105.

It is not an unprimeable number, because it can be changed into a prime (10204213121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 286364 + ... + 320019.

It is an arithmetic number, because the mean of its divisors is an integer number (851767392).

Almost surely, 2^10204213124 is an apocalyptic number.

10204213124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10204213124 is an abundant number, since it is smaller than the sum of its proper divisors (10238204284).

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

10204213124 is a wasteful number, since it uses less digits than its factorization.

10204213124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606995 (or 606993 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10204213124 its reverse (42131240201), we get a palindrome (52335453325).

The spelling of 10204213124 in words is "ten billion, two hundred four million, two hundred thirteen thousand, one hundred twenty-four".