12101121010000 has 200 divisors, whose sum is σ = 31967638056288. Its totient is φ = 4399560000000.

The previous prime is 12101121009997. The next prime is 12101121010009. The reversal of 12101121010000 is 1012110121.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101121010009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1000003950 + ... + 1000016050.

Almost surely, 2^{12101121010000} is an apocalyptic number.

12101121010000 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 12101121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15983819028144).

12101121010000 is an abundant number, since it is smaller than the sum of its proper divisors (19866517046288).

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

12101121010000 is a wasteful number, since it uses less digits than its factorization.

12101121010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21231 (or 21210 counting only the distinct ones).

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

Adding to 12101121010000 its reverse (1012110121), we get a palindrome (12102133120121).

It can be divided in two parts, 12101 and 121010000, that multiplied together give a square (1464342010000 = 1210100²).

The spelling of 12101121010000 in words is "twelve trillion, one hundred one billion, one hundred twenty-one million, ten thousand".