122211212101 has 16 divisors (see below), whose sum is σ = 134673772608. Its totient is φ = 109974592000.

The previous prime is 122211212077. The next prime is 122211212171. The reversal of 122211212101 is 101212112221.

It is a cyclic number.

It is not a de Polignac number, because 122211212101 - 2¹⁵ = 122211179333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211212171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5714310 + ... + 5735656.

It is an arithmetic number, because the mean of its divisors is an integer number (8417110788).

Almost surely, 2^122211212101 is an apocalyptic number.

122211212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122211212101 is a deficient number, since it is larger than the sum of its proper divisors (12462560507).

122211212101 is a wasteful number, since it uses less digits than its factorization.

122211212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26612.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122211212101 its reverse (101212112221), we get a palindrome (223423324322).

The spelling of 122211212101 in words is "one hundred twenty-two billion, two hundred eleven million, two hundred twelve thousand, one hundred one".