122011111221201 has 12 divisors (see below), whose sum is σ = 181001468298612. Its totient is φ = 79142342413536.

The previous prime is 122011111221193. The next prime is 122011111221343. The reversal of 122011111221201 is 102122111110221.

It is a happy number.

122011111221201 is a `hidden beast` number, since 1 + 220 + 1 + 11 + 11 + 221 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43549427441601 + 78461683779600 = 6599199^2 + 8857860^2 .

It is not a de Polignac number, because 122011111221201 - 2³ = 122011111221193 is a prime.

It is a super-2 number, since 2×122011111221201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122011111261201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183199866366 + ... + 183199867031.

It is an arithmetic number, because the mean of its divisors is an integer number (15083455691551).

Almost surely, 2^{122011111221201} is an apocalyptic number.

It is an amenable number.

122011111221201 is a deficient number, since it is larger than the sum of its proper divisors (58990357077411).

122011111221201 is a wasteful number, since it uses less digits than its factorization.

122011111221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366399733440 (or 366399733437 counting only the distinct ones).

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

Adding to 122011111221201 its reverse (102122111110221), we get a palindrome (224133222331422).

The spelling of 122011111221201 in words is "one hundred twenty-two trillion, eleven billion, one hundred eleven million, two hundred twenty-one thousand, two hundred one".