211121101100 has 864 divisors, whose sum is σ = 662297610240. Its totient is φ = 57480192000.

The previous prime is 211121101097. The next prime is 211121101111. The reversal of 211121101100 is 1101121112.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 637827935 + ... + 637828265.

It is an arithmetic number, because the mean of its divisors is an integer number (766548160).

Almost surely, 2^211121101100 is an apocalyptic number.

211121101100 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 211121101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331148805120).

211121101100 is an abundant number, since it is smaller than the sum of its proper divisors (451176509140).

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

211121101100 is a wasteful number, since it uses less digits than its factorization.

211121101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 211121101100 its reverse (1101121112), we get a palindrome (212222222212).

The spelling of 211121101100 in words is "two hundred eleven billion, one hundred twenty-one million, one hundred one thousand, one hundred".