12101101210000 has 400 divisors, whose sum is σ = 32865109998336. Its totient is φ = 4276800000000.

The previous prime is 12101101209973. The next prime is 12101101210061. The reversal of 12101101210000 is 1210110121.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1222205050 + ... + 1222214950.

Almost surely, 2^{12101101210000} is an apocalyptic number.

12101101210000 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 12101101210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432554999168).

12101101210000 is an abundant number, since it is smaller than the sum of its proper divisors (20764008788336).

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

12101101210000 is a wasteful number, since it uses less digits than its factorization.

12101101210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10252 (or 10231 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 12101101210000 its reverse (1210110121), we get a palindrome (12102311320121).

12101101210000 divided by its reverse (1210110121) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 12101 and 101210000, that added together give a palindrome (101222101).

The spelling of 12101101210000 in words is "twelve trillion, one hundred one billion, one hundred one million, two hundred ten thousand".