120201011011221 has 16 divisors (see below), whose sum is σ = 183166241660928. Its totient is φ = 68685243390000.

The previous prime is 120201011011201. The next prime is 120201011011223. The reversal of 120201011011221 is 122110110102021.

It is a happy number.

It is not a de Polignac number, because 120201011011221 - 2⁷ = 120201011011093 is a prime.

It is a super-3 number, since 3×120201011011221³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120201011011221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201011011223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42283005 + ... + 45036146.

It is an arithmetic number, because the mean of its divisors is an integer number (11447890103808).

Almost surely, 2^{120201011011221} is an apocalyptic number.

It is an amenable number.

120201011011221 is a deficient number, since it is larger than the sum of its proper divisors (62965230649707).

120201011011221 is an equidigital number, since it uses as much as digits as its factorization.

120201011011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87384712.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120201011011221 its reverse (122110110102021), we get a palindrome (242311121113242).

The spelling of 120201011011221 in words is "one hundred twenty trillion, two hundred one billion, eleven million, eleven thousand, two hundred twenty-one".