101112123313300 has 144 divisors (see below), whose sum is σ = 252081540748800. Its totient is φ = 34815786595200.

The previous prime is 101112123313237. The next prime is 101112123313303. The reversal of 101112123313300 is 3313321211101.

It is a super-2 number, since 2×101112123313300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112123313303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41428759 + ... + 43801441.

It is an arithmetic number, because the mean of its divisors is an integer number (1750566255200).

Almost surely, 2^{101112123313300} is an apocalyptic number.

101112123313300 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 101112123313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126040770374400).

101112123313300 is an abundant number, since it is smaller than the sum of its proper divisors (150969417435500).

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

101112123313300 is a wasteful number, since it uses less digits than its factorization.

101112123313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374766 (or 2374759 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 101112123313300 its reverse (3313321211101), we get a palindrome (104425444524401).

The spelling of 101112123313300 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-three million, three hundred thirteen thousand, three hundred".