121111011222201 has 288 divisors, whose sum is σ = 245627593481088. Its totient is φ = 56484948602880.

The previous prime is 121111011222151. The next prime is 121111011222209. The reversal of 121111011222201 is 102222110111121.

It is a happy number.

121111011222201 is a `hidden beast` number, since 1 + 211 + 110 + 1 + 122 + 220 + 1 = 666.

It is not a de Polignac number, because 121111011222201 - 2⁶ = 121111011222137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121111011222209) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7730317770 + ... + 7730333436.

It is an arithmetic number, because the mean of its divisors is an integer number (852873588476).

Almost surely, 2^{121111011222201} is an apocalyptic number.

121111011222201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121111011222201 is an abundant number, since it is smaller than the sum of its proper divisors (124516582258887).

121111011222201 is a wasteful number, since it uses less digits than its factorization.

121111011222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19061 (or 19051 counting only the distinct ones).

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

Adding to 121111011222201 its reverse (102222110111121), we get a palindrome (223333121333322).

The spelling of 121111011222201 in words is "one hundred twenty-one trillion, one hundred eleven billion, eleven million, two hundred twenty-two thousand, two hundred one".