211200101120 has 72 divisors (see below), whose sum is σ = 535648546944. Its totient is φ = 79510618112.

The previous prime is 211200101113. The next prime is 211200101173. The reversal of 211200101120 is 21101002112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4831184 + ... + 4874703.

It is an arithmetic number, because the mean of its divisors is an integer number (7439563152).

Almost surely, 2^211200101120 is an apocalyptic number.

211200101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200101120 is an abundant number, since it is smaller than the sum of its proper divisors (324448445824).

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

211200101120 is an equidigital number, since it uses as much as digits as its factorization.

211200101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705925 (or 9705911 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211200101120 its reverse (21101002112), we get a palindrome (232301103232).

The spelling of 211200101120 in words is "two hundred eleven billion, two hundred million, one hundred one thousand, one hundred twenty".