12100012100 has 108 divisors (see below), whose sum is σ = 29149725444. Its totient is φ = 4356000000.

The previous prime is 12100012097. The next prime is 12100012103. The reversal of 12100012100 is 121000121.

It is an interprime number because it is at equal distance from previous prime (12100012097) and next prime (12100012103).

It can be written as a sum of positive squares in 6 ways, for example, as 2224820224 + 9875191876 = 47168^2 + 99374^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100012103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1217150 + ... + 1227050.

Almost surely, 2^12100012100 is an apocalyptic number.

12100012100 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 12100012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574862722).

12100012100 is an abundant number, since it is smaller than the sum of its proper divisors (17049713344).

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

12100012100 is a wasteful number, since it uses less digits than its factorization.

12100012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12100012100 its reverse (121000121), we get a palindrome (12221012221).

12100012100 divided by its reverse (121000121) gives a square (100 = 10²).

The spelling of 12100012100 in words is "twelve billion, one hundred million, twelve thousand, one hundred".