122211121021011 has 64 divisors (see below), whose sum is σ = 198974782886400. Its totient is φ = 73521103075200.

The previous prime is 122211121021009. The next prime is 122211121021051. The reversal of 122211121021011 is 110120121112221.

It is a happy number.

122211121021011 is a `hidden beast` number, since 1 + 2 + 221 + 11 + 210 + 210 + 11 = 666.

It is not a de Polignac number, because 122211121021011 - 2¹ = 122211121021009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122211121021051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19797985 + ... + 25226621.

It is an arithmetic number, because the mean of its divisors is an integer number (3108980982600).

Almost surely, 2^{122211121021011} is an apocalyptic number.

122211121021011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122211121021011 is a deficient number, since it is larger than the sum of its proper divisors (76763661865389).

122211121021011 is a wasteful number, since it uses less digits than its factorization.

122211121021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429217 (or 5429211 counting only the distinct ones).

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

Adding to 122211121021011 its reverse (110120121112221), we get a palindrome (232331242133232).

The spelling of 122211121021011 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred twenty-one million, twenty-one thousand, eleven".