12440102100 has 144 divisors (see below), whose sum is σ = 37436562240. Its totient is φ = 3186892800.

The previous prime is 12440101997. The next prime is 12440102107. The reversal of 12440102100 is 120104421.

It is a super-2 number, since 2×12440102100² (a number of 21 digits) contains 22 as substring.

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 12440102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440102107) 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 47 ways as a sum of consecutive naturals, for example, 778996 + ... + 794804.

Almost surely, 2^12440102100 is an apocalyptic number.

12440102100 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 12440102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718281120).

12440102100 is an abundant number, since it is smaller than the sum of its proper divisors (24996460140).

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

12440102100 is a wasteful number, since it uses less digits than its factorization.

12440102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15930 (or 15923 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12440102100 its reverse (120104421), we get a palindrome (12560206521).

The spelling of 12440102100 in words is "twelve billion, four hundred forty million, one hundred two thousand, one hundred".