12101130310200 has 192 divisors, whose sum is σ = 38388234290400. Its totient is φ = 3152254310400.

The previous prime is 12101130310169. The next prime is 12101130310229. The reversal of 12101130310200 is 201303110121.

It is a happy number.

It is a super-2 number, since 2×12101130310200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12101130310200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6451330 + ... + 8113070.

Almost surely, 2^{12101130310200} is an apocalyptic number.

12101130310200 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 12101130310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194117145200).

12101130310200 is an abundant number, since it is smaller than the sum of its proper divisors (26287103980200).

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

12101130310200 is a wasteful number, since it uses less digits than its factorization.

12101130310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662042 (or 1662033 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 12101130310200 its reverse (201303110121), we get a palindrome (12302433420321).

The spelling of 12101130310200 in words is "twelve trillion, one hundred one billion, one hundred thirty million, three hundred ten thousand, two hundred".