122201112010211 has 24 divisors (see below), whose sum is σ = 140666262572304. Its totient is φ = 105742700544000.

The previous prime is 122201112010207. The next prime is 122201112010267. The reversal of 122201112010211 is 112010211102221.

It is not a de Polignac number, because 122201112010211 - 2² = 122201112010207 is a prime.

It is a super-2 number, since 2×122201112010211² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122201112010211.

It is not an unprimeable number, because it can be changed into a prime (122201112010511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84008606 + ... + 85450851.

It is an arithmetic number, because the mean of its divisors is an integer number (5861094273846).

Almost surely, 2^{122201112010211} is an apocalyptic number.

122201112010211 is a deficient number, since it is larger than the sum of its proper divisors (18465150562093).

122201112010211 is a wasteful number, since it uses less digits than its factorization.

122201112010211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169459751 (or 169459738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122201112010211 its reverse (112010211102221), we get a palindrome (234211323112432).

The spelling of 122201112010211 in words is "one hundred twenty-two trillion, two hundred one billion, one hundred twelve million, ten thousand, two hundred eleven".