12101002200 has 288 divisors, whose sum is σ = 46928350560. Its totient is φ = 2737152000.

The previous prime is 12101002187. The next prime is 12101002201. The reversal of 12101002200 is 220010121.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101002201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1217250 + ... + 1227150.

Almost surely, 2^12101002200 is an apocalyptic number.

12101002200 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 12101002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23464175280).

12101002200 is an abundant number, since it is smaller than the sum of its proper divisors (34827348360).

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

12101002200 is a wasteful number, since it uses less digits than its factorization.

12101002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10027 (or 10015 counting only the distinct ones).

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

Adding to 12101002200 its reverse (220010121), we get a palindrome (12321012321).

The spelling of 12101002200 in words is "twelve billion, one hundred one million, two thousand, two hundred".