11023010100 has 108 divisors (see below), whose sum is σ = 34634658240. Its totient is φ = 2932353600.

The previous prime is 11023010087. The next prime is 11023010149. The reversal of 11023010100 is 101032011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 362485 + ... + 391715.

It is an arithmetic number, because the mean of its divisors is an integer number (320691280).

Almost surely, 2^11023010100 is an apocalyptic number.

11023010100 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 11023010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17317329120).

11023010100 is an abundant number, since it is smaller than the sum of its proper divisors (23611648140).

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

11023010100 is a wasteful number, since it uses less digits than its factorization.

11023010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29670 (or 29660 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11023010100 its reverse (101032011), we get a palindrome (11124042111).

The spelling of 11023010100 in words is "eleven billion, twenty-three million, ten thousand, one hundred".