12100102100 has 72 divisors (see below), whose sum is σ = 27192035640. Its totient is φ = 4668088320.

The previous prime is 12100102097. The next prime is 12100102117. The reversal of 12100102100 is 120100121.

It can be written as a sum of positive squares in 12 ways, for example, as 69522244 + 12030579856 = 8338^2 + 109684^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3759692 + ... + 3762908.

Almost surely, 2^12100102100 is an apocalyptic number.

12100102100 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 12100102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13596017820).

12100102100 is an abundant number, since it is smaller than the sum of its proper divisors (15091933540).

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

12100102100 is a wasteful number, since it uses less digits than its factorization.

12100102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557 (or 4550 counting only the distinct ones).

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

Adding to 12100102100 its reverse (120100121), we get a palindrome (12220202221).

The spelling of 12100102100 in words is "twelve billion, one hundred million, one hundred two thousand, one hundred".