12102200210000 has 100 divisors (see below), whose sum is σ = 31024204242372. Its totient is φ = 4556122368000.

The previous prime is 12102200209993. The next prime is 12102200210011. The reversal of 12102200210000 is 1200220121.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 10222548241984 + 1879651968016 = 3197272^2 + 1371004^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35424707 + ... + 35764706.

Almost surely, 2^{12102200210000} is an apocalyptic number.

12102200210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102200210000 is an abundant number, since it is smaller than the sum of its proper divisors (18922004032372).

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

12102200210000 is an equidigital number, since it uses as much as digits as its factorization.

12102200210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71189458 (or 71189437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12102200210000 its reverse (1200220121), we get a palindrome (12103400430121).

The spelling of 12102200210000 in words is "twelve trillion, one hundred two billion, two hundred million, two hundred ten thousand".