11101122202100 has 288 divisors, whose sum is σ = 28352122848000. Its totient is φ = 3693595852800.

The previous prime is 11101122202091. The next prime is 11101122202147. The reversal of 11101122202100 is 120222110111.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4883906564 + ... + 4883908836.

It is an arithmetic number, because the mean of its divisors is an integer number (98444871000).

Almost surely, 2^{11101122202100} is an apocalyptic number.

11101122202100 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 11101122202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176061424000).

11101122202100 is an abundant number, since it is smaller than the sum of its proper divisors (17251000645900).

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

11101122202100 is a wasteful number, since it uses less digits than its factorization.

11101122202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11101122202100 its reverse (120222110111), we get a palindrome (11221344312211).

The spelling of 11101122202100 in words is "eleven trillion, one hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred".