10013102032120 has 128 divisors (see below), whose sum is σ = 24656986310400. Its totient is φ = 3629380608000.

The previous prime is 10013102032111. The next prime is 10013102032127. The reversal of 10013102032120 is 2123020131001.

It is a junction number, because it is equal to n+sod(n) for n = 10013102032094 and 10013102032103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013102032127) 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 31 ways as a sum of consecutive naturals, for example, 297983320 + ... + 298016920.

It is an arithmetic number, because the mean of its divisors is an integer number (192632705550).

Almost surely, 2^{10013102032120} is an apocalyptic number.

10013102032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013102032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12328493155200).

10013102032120 is an abundant number, since it is smaller than the sum of its proper divisors (14643884278280).

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

10013102032120 is a wasteful number, since it uses less digits than its factorization.

10013102032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35789 (or 35785 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10013102032120 its reverse (2123020131001), we get a palindrome (12136122163121).

The spelling of 10013102032120 in words is "ten trillion, thirteen billion, one hundred two million, thirty-two thousand, one hundred twenty".