11123233102100 has 72 divisors (see below), whose sum is σ = 27644688751680. Its totient is φ = 3805513470720.

The previous prime is 11123233102087. The next prime is 11123233102109. The reversal of 11123233102100 is 120133232111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123233102109) 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, 16686305 + ... + 17340104.

It is an arithmetic number, because the mean of its divisors is an integer number (383954010440).

Almost surely, 2^{11123233102100} is an apocalyptic number.

11123233102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123233102100 is an abundant number, since it is smaller than the sum of its proper divisors (16521455649580).

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

11123233102100 is a wasteful number, since it uses less digits than its factorization.

11123233102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34026897 (or 34026890 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 11123233102100 its reverse (120133232111), we get a palindrome (11243366334211).

The spelling of 11123233102100 in words is "eleven trillion, one hundred twenty-three billion, two hundred thirty-three million, one hundred two thousand, one hundred".