10051031120 has 160 divisors (see below), whose sum is σ = 26218321920. Its totient is φ = 3557836800.

The previous prime is 10051031117. The next prime is 10051031171. The reversal of 10051031120 is 2113015001.

It is a junction number, because it is equal to n+sod(n) for n = 10051031095 and 10051031104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4553057 + ... + 4555263.

It is an arithmetic number, because the mean of its divisors is an integer number (163864512).

Almost surely, 2^10051031120 is an apocalyptic number.

10051031120 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 10051031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13109160960).

10051031120 is an abundant number, since it is smaller than the sum of its proper divisors (16167290800).

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

10051031120 is a wasteful number, since it uses less digits than its factorization.

10051031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 10051031120 its reverse (2113015001), we get a palindrome (12164046121).

The spelling of 10051031120 in words is "ten billion, fifty-one million, thirty-one thousand, one hundred twenty".