121112121102201 has 12 divisors (see below), whose sum is σ = 174940853623380. Its totient is φ = 80740895694720.

The previous prime is 121112121102191. The next prime is 121112121102221. The reversal of 121112121102201 is 102201121211121.

It is a happy number.

121112121102201 is a `hidden beast` number, since 1 + 211 + 1 + 21 + 211 + 0 + 220 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119874907587600 + 1237213514601 = 10948740^2 + 1112301^2 .

It is not a de Polignac number, because 121112121102201 - 2¹¹ = 121112121100153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121112121102221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41715396 + ... + 44524133.

It is an arithmetic number, because the mean of its divisors is an integer number (14578404468615).

Almost surely, 2^{121112121102201} is an apocalyptic number.

It is an amenable number.

121112121102201 is a deficient number, since it is larger than the sum of its proper divisors (53828732521179).

121112121102201 is a wasteful number, since it uses less digits than its factorization.

121112121102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86395576 (or 86395573 counting only the distinct ones).

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

Adding to 121112121102201 its reverse (102201121211121), we get a palindrome (223313242313322).

The spelling of 121112121102201 in words is "one hundred twenty-one trillion, one hundred twelve billion, one hundred twenty-one million, one hundred two thousand, two hundred one".