211001122120 has 128 divisors (see below), whose sum is σ = 494163648000. Its totient is φ = 81026749440.

The previous prime is 211001122117. The next prime is 211001122133. The reversal of 211001122120 is 21221100112.

It is a self number, because there is not a number n which added to its sum of digits gives 211001122120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31113130 + ... + 31119910.

It is an arithmetic number, because the mean of its divisors is an integer number (3860653500).

Almost surely, 2^211001122120 is an apocalyptic number.

211001122120 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 211001122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247081824000).

211001122120 is an abundant number, since it is smaller than the sum of its proper divisors (283162525880).

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

211001122120 is a wasteful number, since it uses less digits than its factorization.

211001122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7143 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211001122120 its reverse (21221100112), we get a palindrome (232222222232).

The spelling of 211001122120 in words is "two hundred eleven billion, one million, one hundred twenty-two thousand, one hundred twenty".