11211100000 has 72 divisors (see below), whose sum is σ = 27588296736. Its totient is φ = 4484400000.

The previous prime is 11211099971. The next prime is 11211100003. The reversal of 11211100000 is 111211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211100003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43945 + ... + 156055.

It is an arithmetic number, because the mean of its divisors is an integer number (383170788).

Almost surely, 2^11211100000 is an apocalyptic number.

11211100000 is a gapful number since it is divisible by the number (10) 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 11211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13794148368).

11211100000 is an abundant number, since it is smaller than the sum of its proper divisors (16377196736).

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

11211100000 is an frugal number, since it uses more digits than its factorization.

11211100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112146 (or 112118 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11211100000 its reverse (111211), we get a palindrome (11211211211).

The spelling of 11211100000 in words is "eleven billion, two hundred eleven million, one hundred thousand".