20101112101200 has 240 divisors, whose sum is σ = 69369239459520. Its totient is φ = 4946142474240.

The previous prime is 20101112101163. The next prime is 20101112101211. The reversal of 20101112101200 is 210121110102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 42336319 + ... + 42808481.

It is an arithmetic number, because the mean of its divisors is an integer number (289038497748).

Almost surely, 2^{20101112101200} is an apocalyptic number.

20101112101200 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 20101112101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34684619729760).

20101112101200 is an abundant number, since it is smaller than the sum of its proper divisors (49268127358320).

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

20101112101200 is a wasteful number, since it uses less digits than its factorization.

20101112101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474926 (or 474915 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20101112101200 its reverse (210121110102), we get a palindrome (20311233211302).

The spelling of 20101112101200 in words is "twenty trillion, one hundred one billion, one hundred twelve million, one hundred one thousand, two hundred".