101300114112 has 112 divisors (see below), whose sum is σ = 269631395712. Its totient is φ = 33564672000.

The previous prime is 101300114093. The next prime is 101300114143. The reversal of 101300114112 is 211411003101.

It is a junction number, because it is equal to n+sod(n) for n = 101300114091 and 101300114100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27804963 + ... + 27808605.

It is an arithmetic number, because the mean of its divisors is an integer number (2407423176).

Almost surely, 2^101300114112 is an apocalyptic number.

101300114112 is a gapful number since it is divisible by the number (12) 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 101300114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134815697856).

101300114112 is an abundant number, since it is smaller than the sum of its proper divisors (168331281600).

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

101300114112 is a wasteful number, since it uses less digits than its factorization.

101300114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101300114112 its reverse (211411003101), we get a palindrome (312711117213).

The spelling of 101300114112 in words is "one hundred one billion, three hundred million, one hundred fourteen thousand, one hundred twelve".