12101122100000 has 144 divisors (see below), whose sum is σ = 29839465526976. Its totient is φ = 4830490080000.

The previous prime is 12101122099987. The next prime is 12101122100009. The reversal of 12101122100000 is 122110121.

It is not an unprimeable number, because it can be changed into a prime (12101122100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48575759 + ... + 48824241.

It is an arithmetic number, because the mean of its divisors is an integer number (207218510604).

Almost surely, 2^{12101122100000} is an apocalyptic number.

12101122100000 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 12101122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14919732763488).

12101122100000 is an abundant number, since it is smaller than the sum of its proper divisors (17738343426976).

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

12101122100000 is an frugal number, since it uses more digits than its factorization.

12101122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249005 (or 248977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12101122100000 its reverse (122110121), we get a palindrome (12101244210121).

The spelling of 12101122100000 in words is "twelve trillion, one hundred one billion, one hundred twenty-two million, one hundred thousand".