10111521120 has 192 divisors, whose sum is σ = 33798352896. Its totient is φ = 2532270080.

The previous prime is 10111521107. The next prime is 10111521139. The reversal of 10111521120 is 2112511101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10111521120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4788865 + ... + 4790975.

It is an arithmetic number, because the mean of its divisors is an integer number (176033088).

Almost surely, 2^10111521120 is an apocalyptic number.

10111521120 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 10111521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899176448).

10111521120 is an abundant number, since it is smaller than the sum of its proper divisors (23686831776).

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

10111521120 is a wasteful number, since it uses less digits than its factorization.

10111521120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

The spelling of 10111521120 in words is "ten billion, one hundred eleven million, five hundred twenty-one thousand, one hundred twenty".