12200114100 has 72 divisors (see below), whose sum is σ = 35369611200. Its totient is φ = 3246855680.

The previous prime is 12200114093. The next prime is 12200114203. The reversal of 12200114100 is 141100221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 110476 + ... + 191324.

It is an arithmetic number, because the mean of its divisors is an integer number (491244600).

Almost surely, 2^12200114100 is an apocalyptic number.

12200114100 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 12200114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17684805600).

12200114100 is an abundant number, since it is smaller than the sum of its proper divisors (23169497100).

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

12200114100 is a wasteful number, since it uses less digits than its factorization.

12200114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81369 (or 81362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12200114100 its reverse (141100221), we get a palindrome (12341214321).

The spelling of 12200114100 in words is "twelve billion, two hundred million, one hundred fourteen thousand, one hundred".