100111444032340 has 96 divisors (see below), whose sum is σ = 228064493744640. Its totient is φ = 36693501106176.

The previous prime is 100111444032289. The next prime is 100111444032343. The reversal of 100111444032340 is 43230444111001.

It is a super-3 number, since 3×100111444032340³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100111444032299 and 100111444032308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111444032343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282546172 + ... + 282900268.

It is an arithmetic number, because the mean of its divisors is an integer number (2375671809840).

Almost surely, 2^{100111444032340} is an apocalyptic number.

100111444032340 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 100111444032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114032246872320).

100111444032340 is an abundant number, since it is smaller than the sum of its proper divisors (127953049712300).

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

100111444032340 is a wasteful number, since it uses less digits than its factorization.

100111444032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362081 (or 362079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 100111444032340 its reverse (43230444111001), we get a palindrome (143341888143341).

The spelling of 100111444032340 in words is "one hundred trillion, one hundred eleven billion, four hundred forty-four million, thirty-two thousand, three hundred forty".