12200102100120 has 128 divisors (see below), whose sum is σ = 39929394839040. Its totient is φ = 2957468067840.

The previous prime is 12200102100101. The next prime is 12200102100203. The reversal of 12200102100120 is 2100120100221.

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

It is a junction number, because it is equal to n+sod(n) for n = 12200102100096 and 12200102100105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31071744 + ... + 31461936.

It is an arithmetic number, because the mean of its divisors is an integer number (311948397180).

Almost surely, 2^{12200102100120} is an apocalyptic number.

12200102100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200102100120 is an abundant number, since it is smaller than the sum of its proper divisors (27729292738920).

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

12200102100120 is a wasteful number, since it uses less digits than its factorization.

12200102100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413905 (or 413901 counting only the distinct ones).

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

Adding to 12200102100120 its reverse (2100120100221), we get a palindrome (14300222200341).

The spelling of 12200102100120 in words is "twelve trillion, two hundred billion, one hundred two million, one hundred thousand, one hundred twenty".