211122101120220 has 36 divisors (see below), whose sum is σ = 640403706731880. Its totient is φ = 56299226965344.

The previous prime is 211122101120137. The next prime is 211122101120221. The reversal of 211122101120220 is 22021101221112.

211122101120220 is a `hidden beast` number, since 2 + 1 + 112 + 210 + 1 + 120 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211122101120193 and 211122101120202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211122101120221) 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, 586450280710 + ... + 586450281069.

Almost surely, 2^{211122101120220} is an apocalyptic number.

211122101120220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211122101120220 is an abundant number, since it is smaller than the sum of its proper divisors (429281605611660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211122101120220 is a wasteful number, since it uses less digits than its factorization.

211122101120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172900561794 (or 1172900561789 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122101120220 its reverse (22021101221112), we get a palindrome (233143202341332).

The spelling of 211122101120220 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty thousand, two hundred twenty".