122201002211211 has 48 divisors (see below), whose sum is σ = 220071690009600. Its totient is φ = 63479861948160.

The previous prime is 122201002211191. The next prime is 122201002211227. The reversal of 122201002211211 is 112112200102221.

122201002211211 is a `hidden beast` number, since 1 + 2 + 220 + 10 + 0 + 221 + 1 + 211 = 666.

It is not a de Polignac number, because 122201002211211 - 2⁷ = 122201002211083 is a prime.

It is a super-2 number, since 2×122201002211211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122201002210211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36366771 + ... + 39584643.

It is an arithmetic number, because the mean of its divisors is an integer number (4584826875200).

Almost surely, 2^{122201002211211} is an apocalyptic number.

122201002211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122201002211211 is a deficient number, since it is larger than the sum of its proper divisors (97870687798389).

122201002211211 is a wasteful number, since it uses less digits than its factorization.

122201002211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272696 (or 3272693 counting only the distinct ones).

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

Adding to 122201002211211 its reverse (112112200102221), we get a palindrome (234313202313432).

The spelling of 122201002211211 in words is "one hundred twenty-two trillion, two hundred one billion, two million, two hundred eleven thousand, two hundred eleven".