111350114100 has 144 divisors (see below), whose sum is σ = 358273319040. Its totient is φ = 29668204800.

The previous prime is 111350114089. The next prime is 111350114111. The reversal of 111350114100 is 1411053111.

111350114100 is a `hidden beast` number, since 11 + 13 + 501 + 141 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111350114089) and next prime (111350114111).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 3285240 + ... + 3318960.

It is an arithmetic number, because the mean of its divisors is an integer number (2488009160).

Almost surely, 2^111350114100 is an apocalyptic number.

111350114100 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 111350114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179136659520).

111350114100 is an abundant number, since it is smaller than the sum of its proper divisors (246923204940).

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

111350114100 is a wasteful number, since it uses less digits than its factorization.

111350114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34967 (or 34954 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 111350114100 its reverse (1411053111), we get a palindrome (112761167211).

The spelling of 111350114100 in words is "one hundred eleven billion, three hundred fifty million, one hundred fourteen thousand, one hundred".