121112011221201 has 192 divisors, whose sum is σ = 241862217891840. Its totient is φ = 56358481605120.

The previous prime is 121112011221191. The next prime is 121112011221211. The reversal of 121112011221201 is 102122110211121.

It is a happy number.

121112011221201 is a `hidden beast` number, since 1 + 211 + 1 + 20 + 11 + 221 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (121112011221191) and next prime (121112011221211).

It is not a de Polignac number, because 121112011221201 - 2⁹ = 121112011220689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121112011221211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127192210 + ... + 128140868.

It is an arithmetic number, because the mean of its divisors is an integer number (1259699051520).

Almost surely, 2^{121112011221201} is an apocalyptic number.

121112011221201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121112011221201 is a deficient number, since it is larger than the sum of its proper divisors (120750206670639).

121112011221201 is a wasteful number, since it uses less digits than its factorization.

121112011221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949116 (or 949113 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121112011221201 its reverse (102122110211121), we get a palindrome (223234121432322).

The spelling of 121112011221201 in words is "one hundred twenty-one trillion, one hundred twelve billion, eleven million, two hundred twenty-one thousand, two hundred one".