12200102102221 has 96 divisors (see below), whose sum is σ = 14377125248640. Its totient is φ = 10315008000000.

The previous prime is 12200102102203. The next prime is 12200102102233. The reversal of 12200102102221 is 12220120100221.

It is a happy number.

It is not a de Polignac number, because 12200102102221 - 2²⁵ = 12200068547789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12200102102195 and 12200102102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200102102281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20573527701 + ... + 20573528293.

It is an arithmetic number, because the mean of its divisors is an integer number (149761721340).

Almost surely, 2^{12200102102221} is an apocalyptic number.

12200102102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12200102102221 is a deficient number, since it is larger than the sum of its proper divisors (2177023146419).

12200102102221 is a wasteful number, since it uses less digits than its factorization.

12200102102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12200102102221 its reverse (12220120100221), we get a palindrome (24420222202442).

The spelling of 12200102102221 in words is "twelve trillion, two hundred billion, one hundred two million, one hundred two thousand, two hundred twenty-one".