211012201120 has 144 divisors (see below), whose sum is σ = 571880736000. Its totient is φ = 72075308544.

The previous prime is 211012201109. The next prime is 211012201177. The reversal of 211012201120 is 21102210112.

It is a super-2 number, since 2×211012201120² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211012201120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105557881 + ... + 105559879.

It is an arithmetic number, because the mean of its divisors is an integer number (3971394000).

Almost surely, 2^211012201120 is an apocalyptic number.

211012201120 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 211012201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285940368000).

211012201120 is an abundant number, since it is smaller than the sum of its proper divisors (360868534880).

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

211012201120 is an equidigital number, since it uses as much as digits as its factorization.

211012201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2320 counting only the distinct ones).

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

Adding to 211012201120 its reverse (21102210112), we get a palindrome (232114411232).

The spelling of 211012201120 in words is "two hundred eleven billion, twelve million, two hundred one thousand, one hundred twenty".