211222101121101 has 32 divisors (see below), whose sum is σ = 358041048550400. Its totient is φ = 120557833110000.

The previous prime is 211222101121067. The next prime is 211222101121127. The reversal of 211222101121101 is 101121101222112.

It is a happy number.

211222101121101 is a `hidden beast` number, since 211 + 22 + 210 + 1 + 121 + 101 = 666.

It is not a de Polignac number, because 211222101121101 - 2¹¹ = 211222101119053 is a prime.

It is a super-2 number, since 2×211222101121101² (a number of 29 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 (211222101121601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650348275 + ... + 650672976.

It is an arithmetic number, because the mean of its divisors is an integer number (11188782767200).

Almost surely, 2^{211222101121101} is an apocalyptic number.

211222101121101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211222101121101 is a deficient number, since it is larger than the sum of its proper divisors (146818947429299).

211222101121101 is a wasteful number, since it uses less digits than its factorization.

211222101121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301022126 (or 1301022120 counting only the distinct ones).

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

Adding to 211222101121101 its reverse (101121101222112), we get a palindrome (312343202343213).

The spelling of 211222101121101 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred one".