20101212010000 has 400 divisors, whose sum is σ = 53446266720000. Its totient is φ = 7260840000000.

The previous prime is 20101212009997. The next prime is 20101212010031. The reversal of 20101212010000 is 1021210102.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13777389271 + ... + 13777390729.

It is an arithmetic number, because the mean of its divisors is an integer number (133615666800).

Almost surely, 2^{20101212010000} is an apocalyptic number.

20101212010000 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 20101212010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26723133360000).

20101212010000 is an abundant number, since it is smaller than the sum of its proper divisors (33345054710000).

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

20101212010000 is a wasteful number, since it uses less digits than its factorization.

20101212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101212010000 its reverse (1021210102), we get a palindrome (20102233220102).

The spelling of 20101212010000 in words is "twenty trillion, one hundred one billion, two hundred twelve million, ten thousand".