101201110111200 has 144 divisors (see below), whose sum is σ = 359355941997696. Its totient is φ = 24533602444800.

The previous prime is 101201110111147. The next prime is 101201110111223. The reversal of 101201110111200 is 2111011102101.

101201110111200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 1916661292 + ... + 1916714091.

It is an arithmetic number, because the mean of its divisors is an integer number (2495527374984).

Almost surely, 2^{101201110111200} is an apocalyptic number.

101201110111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201110111200 is an abundant number, since it is smaller than the sum of its proper divisors (258154831886496).

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

101201110111200 is a wasteful number, since it uses less digits than its factorization.

101201110111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833375417 (or 3833375404 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101201110111200 its reverse (2111011102101), we get a palindrome (103312121213301).

Subtracting from 101201110111200 its reverse (2111011102101), we obtain a palindrome (99090099009099).

The spelling of 101201110111200 in words is "one hundred one trillion, two hundred one billion, one hundred ten million, one hundred eleven thousand, two hundred".