211122101121120 has 768 divisors, whose sum is σ = 849936941844480. Its totient is φ = 47945324003328.

The previous prime is 211122101121097. The next prime is 211122101121161. The reversal of 211122101121120 is 21121101221112.

It is a happy number.

211122101121120 is a `hidden beast` number, since 211 + 1 + 2 + 210 + 1 + 121 + 120 = 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 = 211122101121093 and 211122101121102.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 25202586372 + ... + 25202594748.

It is an arithmetic number, because the mean of its divisors is an integer number (1106688726360).

Almost surely, 2^{211122101121120} is an apocalyptic number.

211122101121120 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 211122101121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424968470922240).

211122101121120 is an abundant number, since it is smaller than the sum of its proper divisors (638814840723360).

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

211122101121120 is a wasteful number, since it uses less digits than its factorization.

211122101121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13684 (or 13670 counting only the distinct ones).

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

Adding to 211122101121120 its reverse (21121101221112), we get a palindrome (232243202342232).

The spelling of 211122101121120 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty".