11014512100 has 72 divisors (see below), whose sum is σ = 24206653800. Its totient is φ = 4349921280.

The previous prime is 11014512077. The next prime is 11014512121. The reversal of 11014512100 is 121541011.

It can be written as a sum of positive squares in 12 ways, for example, as 3838050304 + 7176461796 = 61952^2 + 84714^2 .

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 23 ways as a sum of consecutive naturals, for example, 2575564 + ... + 2579836.

It is an arithmetic number, because the mean of its divisors is an integer number (336203525).

Almost surely, 2^11014512100 is an apocalyptic number.

11014512100 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 11014512100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12103326900).

11014512100 is an abundant number, since it is smaller than the sum of its proper divisors (13192141700).

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

11014512100 is a wasteful number, since it uses less digits than its factorization.

11014512100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4609 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 16.

The spelling of 11014512100 in words is "eleven billion, fourteen million, five hundred twelve thousand, one hundred".