12101101012000 has 1152 divisors, whose sum is σ = 40310879551488. Its totient is φ = 3466824192000.

The previous prime is 12101101011971. The next prime is 12101101012009. The reversal of 12101101012000 is 21010110121.

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

It is not an unprimeable number, because it can be changed into a prime (12101101012009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19935915697 + ... + 19935916303.

It is an arithmetic number, because the mean of its divisors is an integer number (34992082944).

Almost surely, 2^{12101101012000} is an apocalyptic number.

12101101012000 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 12101101012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20155439775744).

12101101012000 is an abundant number, since it is smaller than the sum of its proper divisors (28209778539488).

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

12101101012000 is a wasteful number, since it uses less digits than its factorization.

12101101012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1028 counting only the distinct ones).

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

Adding to 12101101012000 its reverse (21010110121), we get a palindrome (12122111122121).

The spelling of 12101101012000 in words is "twelve trillion, one hundred one billion, one hundred one million, twelve thousand".