211001122201120 has 96 divisors (see below), whose sum is σ = 500532859632960. Its totient is φ = 84054669696000.

The previous prime is 211001122201099. The next prime is 211001122201139. The reversal of 211001122201120 is 21102221100112.

It is a super-3 number, since 3×211001122201120³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211001122201094 and 211001122201103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359660986 + ... + 360247174.

It is an arithmetic number, because the mean of its divisors is an integer number (5213883954510).

Almost surely, 2^{211001122201120} is an apocalyptic number.

211001122201120 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 211001122201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250266429816480).

211001122201120 is an abundant number, since it is smaller than the sum of its proper divisors (289531737431840).

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

211001122201120 is a wasteful number, since it uses less digits than its factorization.

211001122201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595418 (or 595410 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211001122201120 its reverse (21102221100112), we get a palindrome (232103343301232).

The spelling of 211001122201120 in words is "two hundred eleven trillion, one billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".