111101312310120 has 288 divisors, whose sum is σ = 420235180452360. Its totient is φ = 25349318860800.

The previous prime is 111101312310101. The next prime is 111101312310127. The reversal of 111101312310120 is 21013213101111.

111101312310120 is a `hidden beast` number, since 1 + 11 + 10 + 1 + 312 + 310 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93363249201156 + 17738063108964 = 9662466^2 + 4211658^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 111101312310093 and 111101312310102.

It is not an unprimeable number, because it can be changed into a prime (111101312310127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74275221 + ... + 75756260.

Almost surely, 2^{111101312310120} is an apocalyptic number.

111101312310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111101312310120 is an abundant number, since it is smaller than the sum of its proper divisors (309133868142240).

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

111101312310120 is a wasteful number, since it uses less digits than its factorization.

111101312310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150031537 (or 150031519 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 111101312310120 its reverse (21013213101111), we get a palindrome (132114525411231).

The spelling of 111101312310120 in words is "one hundred eleven trillion, one hundred one billion, three hundred twelve million, three hundred ten thousand, one hundred twenty".