122220101211201 has 96 divisors (see below), whose sum is σ = 205141549916160. Its totient is φ = 68681894658048.

The previous prime is 122220101211199. The next prime is 122220101211211. The reversal of 122220101211201 is 102112101022221.

122220101211201 is a `hidden beast` number, since 1 + 22 + 220 + 10 + 1 + 211 + 201 = 666.

It is not a de Polignac number, because 122220101211201 - 2¹ = 122220101211199 is a prime.

It is a super-2 number, since 2×122220101211201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122220101211211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 423852865 + ... + 424141121.

It is an arithmetic number, because the mean of its divisors is an integer number (2136891144960).

Almost surely, 2^{122220101211201} is an apocalyptic number.

It is an amenable number.

122220101211201 is a deficient number, since it is larger than the sum of its proper divisors (82921448704959).

122220101211201 is a wasteful number, since it uses less digits than its factorization.

122220101211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288863 (or 288860 counting only the distinct ones).

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

Adding to 122220101211201 its reverse (102112101022221), we get a palindrome (224332202233422).

The spelling of 122220101211201 in words is "one hundred twenty-two trillion, two hundred twenty billion, one hundred one million, two hundred eleven thousand, two hundred one".