11211200110100 has 144 divisors (see below), whose sum is σ = 24976631184960. Its totient is φ = 4366895846400.

The previous prime is 11211200110057. The next prime is 11211200110111. The reversal of 11211200110100 is 101100211211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183630179 + ... + 183691221.

Almost surely, 2^{11211200110100} is an apocalyptic number.

11211200110100 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 11211200110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12488315592480).

11211200110100 is an abundant number, since it is smaller than the sum of its proper divisors (13765431074860).

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

11211200110100 is a wasteful number, since it uses less digits than its factorization.

11211200110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61450 (or 61443 counting only the distinct ones).

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

Adding to 11211200110100 its reverse (101100211211), we get a palindrome (11312300321311).

The spelling of 11211200110100 in words is "eleven trillion, two hundred eleven billion, two hundred million, one hundred ten thousand, one hundred".