211121121101200 has 120 divisors (see below), whose sum is σ = 523776486603776. Its totient is φ = 81693695232000.

The previous prime is 211121121101089. The next prime is 211121121101201. The reversal of 211121121101200 is 2101121121112.

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

It is not an unprimeable number, because it can be changed into a prime (211121121101201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29933224 + ... + 36307576.

Almost surely, 2^{211121121101200} is an apocalyptic number.

211121121101200 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 211121121101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261888243301888).

211121121101200 is an abundant number, since it is smaller than the sum of its proper divisors (312655365502576).

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

211121121101200 is a wasteful number, since it uses less digits than its factorization.

211121121101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377073 (or 6377062 counting only the distinct ones).

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

Adding to 211121121101200 its reverse (2101121121112), we get a palindrome (213222242222312).

The spelling of 211121121101200 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, two hundred".