11101211121100 has 72 divisors (see below), whose sum is σ = 24753108699648. Its totient is φ = 4319343144000.

The previous prime is 11101211121061. The next prime is 11101211121107. The reversal of 11101211121100 is 112111210111.

It is not an unprimeable number, because it can be changed into a prime (11101211121107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6479176 + ... + 8011375.

It is an arithmetic number, because the mean of its divisors is an integer number (343793176384).

Almost surely, 2^{11101211121100} is an apocalyptic number.

11101211121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101211121100 is an abundant number, since it is smaller than the sum of its proper divisors (13651897578548).

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

11101211121100 is a wasteful number, since it uses less digits than its factorization.

11101211121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14490775 (or 14490768 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11101211121100 its reverse (112111210111), we get a palindrome (11213322331211).

The spelling of 11101211121100 in words is "eleven trillion, one hundred one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".