120120212102011 has 16 divisors (see below), whose sum is σ = 133189563045600. Its totient is φ = 107409113510400.

The previous prime is 120120212102003. The next prime is 120120212102069. The reversal of 120120212102011 is 110201212021021.

It is a cyclic number.

It is not a de Polignac number, because 120120212102011 - 2³ = 120120212102003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120120212102081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85614195 + ... + 87005923.

It is an arithmetic number, because the mean of its divisors is an integer number (8324347690350).

Almost surely, 2^{120120212102011} is an apocalyptic number.

120120212102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120120212102011 is a deficient number, since it is larger than the sum of its proper divisors (13069350943589).

120120212102011 is a wasteful number, since it uses less digits than its factorization.

120120212102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520430.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120120212102011 its reverse (110201212021021), we get a palindrome (230321424123032).

The spelling of 120120212102011 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred twelve million, one hundred two thousand, eleven".