101112510120 has 128 divisors (see below), whose sum is σ = 315182275200. Its totient is φ = 25918678016.

The previous prime is 101112510097. The next prime is 101112510127. The reversal of 101112510120 is 21015211101.

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 101112510120.

It is not an unprimeable number, because it can be changed into a prime (101112510127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725962 + ... + 853958.

It is an arithmetic number, because the mean of its divisors is an integer number (2462361525).

Almost surely, 2^101112510120 is an apocalyptic number.

101112510120 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 101112510120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157591137600).

101112510120 is an abundant number, since it is smaller than the sum of its proper divisors (214069765080).

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

101112510120 is a wasteful number, since it uses less digits than its factorization.

101112510120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128267 (or 128263 counting only the distinct ones).

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

Adding to 101112510120 its reverse (21015211101), we get a palindrome (122127721221).

The spelling of 101112510120 in words is "one hundred one billion, one hundred twelve million, five hundred ten thousand, one hundred twenty".