12100202100 has 648 divisors, whose sum is σ = 46680012288. Its totient is φ = 2610316800.

The previous prime is 12100202087. The next prime is 12100202119. The reversal of 12100202100 is 120200121.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 72456217 + ... + 72456383.

It is an arithmetic number, because the mean of its divisors is an integer number (72037056).

Almost surely, 2^12100202100 is an apocalyptic number.

12100202100 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 12100202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340006144).

12100202100 is an abundant number, since it is smaller than the sum of its proper divisors (34579810188).

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

12100202100 is a wasteful number, since it uses less digits than its factorization.

12100202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12100202100 its reverse (120200121), we get a palindrome (12220402221).

The spelling of 12100202100 in words is "twelve billion, one hundred million, two hundred two thousand, one hundred".