111100121102120 has 64 divisors (see below), whose sum is σ = 255421564650000. Its totient is φ = 43476623843328.

The previous prime is 111100121102101. The next prime is 111100121102141. The reversal of 111100121102120 is 21201121001111.

It can be written as a sum of positive squares in 8 ways, for example, as 96157675224004 + 14942445878116 = 9806002^2 + 3865546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111100121102095 and 111100121102104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74339945 + ... + 75819704.

Almost surely, 2^{111100121102120} is an apocalyptic number.

111100121102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111100121102120 is an abundant number, since it is smaller than the sum of its proper divisors (144321443547880).

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

111100121102120 is a wasteful number, since it uses less digits than its factorization.

111100121102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150160062 (or 150160058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 111100121102120 its reverse (21201121001111), we get a palindrome (132301242103231).

The spelling of 111100121102120 in words is "one hundred eleven trillion, one hundred billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty".