14511020100 has 144 divisors (see below), whose sum is σ = 44391950400. Its totient is φ = 3649605120.

The previous prime is 14511020099. The next prime is 14511020107. The reversal of 14511020100 is 102011541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14511020100.

It is not an unprimeable number, because it can be changed into a prime (14511020107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299742 + ... + 1310858.

Almost surely, 2^14511020100 is an apocalyptic number.

14511020100 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 14511020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195975200).

14511020100 is an abundant number, since it is smaller than the sum of its proper divisors (29880930300).

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

14511020100 is a wasteful number, since it uses less digits than its factorization.

14511020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11382 (or 11375 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 14511020100 its reverse (102011541), we get a palindrome (14613031641).

The spelling of 14511020100 in words is "fourteen billion, five hundred eleven million, twenty thousand, one hundred".