211222121101 has 16 divisors (see below), whose sum is σ = 228441807360. Its totient is φ = 194536546560.

The previous prime is 211222121087. The next prime is 211222121107. The reversal of 211222121101 is 101121222112.

211222121101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211222121101 - 2⁵ = 211222121069 is a prime.

It is a super-2 number, since 2×211222121101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222121107) 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, 6110296 + ... + 6144766.

It is an arithmetic number, because the mean of its divisors is an integer number (14277612960).

Almost surely, 2^211222121101 is an apocalyptic number.

It is an amenable number.

211222121101 is a deficient number, since it is larger than the sum of its proper divisors (17219686259).

211222121101 is a wasteful number, since it uses less digits than its factorization.

211222121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42204.

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

Adding to 211222121101 its reverse (101121222112), we get a palindrome (312343343213).

The spelling of 211222121101 in words is "two hundred eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred one".