11121211201100 has 216 divisors, whose sum is σ = 32981003799408. Its totient is φ = 3199708915200.

The previous prime is 11121211201057. The next prime is 11121211201169. The reversal of 11121211201100 is 110211212111.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7235087 + ... + 8636486.

Almost surely, 2^{11121211201100} is an apocalyptic number.

11121211201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121211201100 is an abundant number, since it is smaller than the sum of its proper divisors (21859792598308).

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

11121211201100 is a wasteful number, since it uses less digits than its factorization.

11121211201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15871625 (or 15871611 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 11121211201100 its reverse (110211212111), we get a palindrome (11231422413211).

It can be divided in two parts, 11121211 and 201100, that added together give a palindrome (11322311).

The spelling of 11121211201100 in words is "eleven trillion, one hundred twenty-one billion, two hundred eleven million, two hundred one thousand, one hundred".