12102122100000 has 1152 divisors, whose sum is σ = 41909957591040. Its totient is φ = 3054965760000.

The previous prime is 12102122099999. The next prime is 12102122100091. The reversal of 12102122100000 is 122120121.

It is a super-2 number, since 2×12102122100000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95292299937 + ... + 95292300063.

It is an arithmetic number, because the mean of its divisors is an integer number (36380171520).

Almost surely, 2^{12102122100000} is an apocalyptic number.

12102122100000 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 12102122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20954978795520).

12102122100000 is an abundant number, since it is smaller than the sum of its proper divisors (29807835491040).

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

12102122100000 is an equidigital number, since it uses as much as digits as its factorization.

12102122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 352 counting only the distinct ones).

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

Adding to 12102122100000 its reverse (122120121), we get a palindrome (12102244220121).

The spelling of 12102122100000 in words is "twelve trillion, one hundred two billion, one hundred twenty-two million, one hundred thousand".