211222111102101 has 12 divisors (see below), whose sum is σ = 332834841736800. Its totient is φ = 128013400667880.

The previous prime is 211222111102063. The next prime is 211222111102117. The reversal of 211222111102101 is 101201111222112.

It is a happy number.

211222111102101 is a `hidden beast` number, since 211 + 2 + 221 + 11 + 10 + 210 + 1 = 666.

It is not a de Polignac number, because 211222111102101 - 2¹⁴ = 211222111085717 is a prime.

It is a super-2 number, since 2×211222111102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222111102141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1066778338801 + ... + 1066778338998.

It is an arithmetic number, because the mean of its divisors is an integer number (27736236811400).

Almost surely, 2^{211222111102101} is an apocalyptic number.

It is an amenable number.

211222111102101 is a deficient number, since it is larger than the sum of its proper divisors (121612730634699).

211222111102101 is a wasteful number, since it uses less digits than its factorization.

211222111102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133556677816 (or 2133556677813 counting only the distinct ones).

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

Adding to 211222111102101 its reverse (101201111222112), we get a palindrome (312423222324213).

The spelling of 211222111102101 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred eleven million, one hundred two thousand, one hundred one".