211122022100112 has 160 divisors (see below), whose sum is σ = 614781817794560. Its totient is φ = 69360473508480.

The previous prime is 211122022100069. The next prime is 211122022100123. The reversal of 211122022100112 is 211001220221112.

211122022100112 is a `hidden beast` number, since 2 + 111 + 220 + 221 + 0 + 0 + 112 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1854808 + ... + 20632119.

It is an arithmetic number, because the mean of its divisors is an integer number (3842386361216).

Almost surely, 2^{211122022100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211122022100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307390908897280).

211122022100112 is an abundant number, since it is smaller than the sum of its proper divisors (403659795694448).

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

211122022100112 is a wasteful number, since it uses less digits than its factorization.

211122022100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22487258 (or 22487246 counting only the distinct ones).

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

Adding to 211122022100112 its reverse (211001220221112), we get a palindrome (422123242321224).

The spelling of 211122022100112 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty-two million, one hundred thousand, one hundred twelve".