211120121102220 has 288 divisors, whose sum is σ = 714898444216320. Its totient is φ = 49992088788480.

The previous prime is 211120121102147. The next prime is 211120121102221. The reversal of 211120121102220 is 22201121021112.

211120121102220 is a `hidden beast` number, since 21 + 11 + 201 + 211 + 0 + 2 + 220 = 666.

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 = 211120121102193 and 211120121102202.

It is not an unprimeable number, because it can be changed into a prime (211120121102221) 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 95 ways as a sum of consecutive naturals, for example, 44554066 + ... + 49064294.

It is an arithmetic number, because the mean of its divisors is an integer number (2482286264640).

Almost surely, 2^{211120121102220} is an apocalyptic number.

211120121102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120121102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357449222108160).

211120121102220 is an abundant number, since it is smaller than the sum of its proper divisors (503778323114100).

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

211120121102220 is a wasteful number, since it uses less digits than its factorization.

211120121102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510805 (or 4510800 counting only the distinct ones).

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

Adding to 211120121102220 its reverse (22201121021112), we get a palindrome (233321242123332).

The spelling of 211120121102220 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-one million, one hundred two thousand, two hundred twenty".