11101122100 has 36 divisors (see below), whose sum is σ = 24327966348. Its totient is φ = 4396480000.

The previous prime is 11101122091. The next prime is 11101122119. The reversal of 11101122100 is 122110111.

It can be written as a sum of positive squares in 6 ways, for example, as 1762992144 + 9338129956 = 41988^2 + 96634^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539461 + ... + 559660.

It is an arithmetic number, because the mean of its divisors is an integer number (675776843).

Almost surely, 2^11101122100 is an apocalyptic number.

11101122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101122100 is an abundant number, since it is smaller than the sum of its proper divisors (13226844248).

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

11101122100 is a wasteful number, since it uses less digits than its factorization.

11101122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099236 (or 1099229 counting only the distinct ones).

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

Adding to 11101122100 its reverse (122110111), we get a palindrome (11223232211).

The spelling of 11101122100 in words is "eleven billion, one hundred one million, one hundred twenty-two thousand, one hundred".