122112101022201 has 24 divisors (see below), whose sum is σ = 189617894843520. Its totient is φ = 75482508129696.

The previous prime is 122112101022181. The next prime is 122112101022257. The reversal of 122112101022201 is 102220101211221.

122112101022201 is a `hidden beast` number, since 1 + 221 + 1 + 210 + 10 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 122112101022201 - 2⁹ = 122112101021689 is a prime.

It is a super-2 number, since 2×122112101022201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112101022281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7596862750 + ... + 7596878823.

It is an arithmetic number, because the mean of its divisors is an integer number (7900745618480).

Almost surely, 2^{122112101022201} is an apocalyptic number.

It is an amenable number.

122112101022201 is a deficient number, since it is larger than the sum of its proper divisors (67505793821319).

122112101022201 is a wasteful number, since it uses less digits than its factorization.

122112101022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15193741645 (or 15193741642 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122112101022201 its reverse (102220101211221), we get a palindrome (224332202233422).

The spelling of 122112101022201 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred one million, twenty-two thousand, two hundred one".