11034123100 has 288 divisors, whose sum is σ = 32449923072. Its totient is φ = 3171168000.

The previous prime is 11034123049. The next prime is 11034123101. The reversal of 11034123100 is 132143011.

It is a super-2 number, since 2×11034123100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11034123101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12111645 + ... + 12112555.

It is an arithmetic number, because the mean of its divisors is an integer number (112673344).

Almost surely, 2^11034123100 is an apocalyptic number.

11034123100 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 11034123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16224961536).

11034123100 is an abundant number, since it is smaller than the sum of its proper divisors (21415799972).

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

11034123100 is a wasteful number, since it uses less digits than its factorization.

11034123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11034123100 its reverse (132143011), we get a palindrome (11166266111).

The spelling of 11034123100 in words is "eleven billion, thirty-four million, one hundred twenty-three thousand, one hundred".