206100100111200 has 288 divisors, whose sum is σ = 672183065030400. Its totient is φ = 54851386705920.

The previous prime is 206100100111123. The next prime is 206100100111201. The reversal of 206100100111200 is 2111001001602.

It is a happy number.

206100100111200 is digitally balanced in base 2, 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 206100100111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206100100111201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2886965106 + ... + 2887036494.

It is an arithmetic number, because the mean of its divisors is an integer number (2333968975800).

Almost surely, 2^{206100100111200} is an apocalyptic number.

206100100111200 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 206100100111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336091532515200).

206100100111200 is an abundant number, since it is smaller than the sum of its proper divisors (466082964919200).

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

206100100111200 is a wasteful number, since it uses less digits than its factorization.

206100100111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73774 (or 73761 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 206100100111200 its reverse (2111001001602), we get a palindrome (208211101112802).

The spelling of 206100100111200 in words is "two hundred six trillion, one hundred billion, one hundred million, one hundred eleven thousand, two hundred".