11212101100 has 36 divisors (see below), whose sum is σ = 24457684608. Its totient is φ = 4461352000.

The previous prime is 11212101097. The next prime is 11212101101. The reversal of 11212101100 is 110121211.

11212101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11212101100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11212101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 274411 + ... + 312610.

It is an arithmetic number, because the mean of its divisors is an integer number (679380128).

Almost surely, 2^11212101100 is an apocalyptic number.

11212101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212101100 is an abundant number, since it is smaller than the sum of its proper divisors (13245583508).

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

11212101100 is a wasteful number, since it uses less digits than its factorization.

11212101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587226 (or 587219 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11212101100 its reverse (110121211), we get a palindrome (11322222311).

The spelling of 11212101100 in words is "eleven billion, two hundred twelve million, one hundred one thousand, one hundred".