114255011100 has 144 divisors (see below), whose sum is σ = 332514217728. Its totient is φ = 30290050560.

The previous prime is 114255011093. The next prime is 114255011113. The reversal of 114255011100 is 1110552411.

It is a super-3 number, since 3×114255011100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48680127 + ... + 48682473.

It is an arithmetic number, because the mean of its divisors is an integer number (2309126512).

Almost surely, 2^114255011100 is an apocalyptic number.

114255011100 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 114255011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166257108864).

114255011100 is an abundant number, since it is smaller than the sum of its proper divisors (218259206628).

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

114255011100 is a wasteful number, since it uses less digits than its factorization.

114255011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

Adding to 114255011100 its reverse (1110552411), we get a palindrome (115365563511).

The spelling of 114255011100 in words is "one hundred fourteen billion, two hundred fifty-five million, eleven thousand, one hundred".