10111235130 has 128 divisors (see below), whose sum is σ = 28725580800. Its totient is φ = 2523534912.

The previous prime is 10111235107. The next prime is 10111235159. The reversal of 10111235130 is 3153211101.

10111235130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10111235130² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 413917 + ... + 437663.

It is an arithmetic number, because the mean of its divisors is an integer number (224418600).

Almost surely, 2^10111235130 is an apocalyptic number.

10111235130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10111235130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14362790400).

10111235130 is an abundant number, since it is smaller than the sum of its proper divisors (18614345670).

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

10111235130 is a wasteful number, since it uses less digits than its factorization.

10111235130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23865 (or 23859 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10111235130 its reverse (3153211101), we get a palindrome (13264446231).

The spelling of 10111235130 in words is "ten billion, one hundred eleven million, two hundred thirty-five thousand, one hundred thirty".