20121001010000 has 200 divisors, whose sum is σ = 53162068317600. Its totient is φ = 7314183360000.

The previous prime is 20121001009931. The next prime is 20121001010009. The reversal of 20121001010000 is 1010012102.

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 (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20121001010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121001010009) 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, 332059706 + ... + 332120294.

It is an arithmetic number, because the mean of its divisors is an integer number (265810341588).

Almost surely, 2^{20121001010000} is an apocalyptic number.

20121001010000 is a gapful number since it is divisible by the number (20) 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 20121001010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26581034158800).

20121001010000 is an abundant number, since it is smaller than the sum of its proper divisors (33041067307600).

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

20121001010000 is a wasteful number, since it uses less digits than its factorization.

20121001010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63647 (or 63626 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20121001010000 its reverse (1010012102), we get a palindrome (20122011022102).

The spelling of 20121001010000 in words is "twenty trillion, one hundred twenty-one billion, one million, ten thousand".