120011100332121 has 24 divisors (see below), whose sum is σ = 174311743956480. Its totient is φ = 79563489717600.

The previous prime is 120011100332119. The next prime is 120011100332143. The reversal of 120011100332121 is 121233001110021.

120011100332121 is a `hidden beast` number, since 1 + 200 + 1 + 1 + 10 + 0 + 332 + 121 = 666.

It is not a de Polignac number, because 120011100332121 - 2¹ = 120011100332119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120011100332094 and 120011100332103.

It is not an unprimeable number, because it can be changed into a prime (120011100336121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5505531 + ... + 16441808.

It is an arithmetic number, because the mean of its divisors is an integer number (7262989331520).

Almost surely, 2^{120011100332121} is an apocalyptic number.

It is an amenable number.

120011100332121 is a deficient number, since it is larger than the sum of its proper divisors (54300643624359).

120011100332121 is a wasteful number, since it uses less digits than its factorization.

120011100332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21950717 (or 21950714 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120011100332121 its reverse (121233001110021), we get a palindrome (241244101442142).

The spelling of 120011100332121 in words is "one hundred twenty trillion, eleven billion, one hundred million, three hundred thirty-two thousand, one hundred twenty-one".