101200201200000 has 1920 divisors, whose sum is σ = 433488861812160. Its totient is φ = 22955581440000.

The previous prime is 101200201199987. The next prime is 101200201200047. The reversal of 101200201200000 is 2102002101.

101200201200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31071598372 + ... + 31071601628.

Almost surely, 2^{101200201200000} is an apocalyptic number.

101200201200000 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 101200201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216744430906080).

101200201200000 is an abundant number, since it is smaller than the sum of its proper divisors (332288660612160).

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

101200201200000 is an frugal number, since it uses more digits than its factorization.

101200201200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101200201200000 its reverse (2102002101), we get a palindrome (101202303202101).

The spelling of 101200201200000 in words is "one hundred one trillion, two hundred billion, two hundred one million, two hundred thousand".