10501349120 has 144 divisors (see below), whose sum is σ = 25863304320. Its totient is φ = 4083351552.

The previous prime is 10501349113. The next prime is 10501349129. The reversal of 10501349120 is 2194310501.

It is a super-2 number, since 2×10501349120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10501349120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10501349129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10407176 + ... + 10408184.

It is an arithmetic number, because the mean of its divisors is an integer number (179606280).

Almost surely, 2^10501349120 is an apocalyptic number.

10501349120 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 10501349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931652160).

10501349120 is an abundant number, since it is smaller than the sum of its proper divisors (15361955200).

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

10501349120 is a wasteful number, since it uses less digits than its factorization.

10501349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

Adding to 10501349120 its reverse (2194310501), we get a palindrome (12695659621).

The spelling of 10501349120 in words is "ten billion, five hundred one million, three hundred forty-nine thousand, one hundred twenty".