201100100212200 has 288 divisors, whose sum is σ = 732232291901760. Its totient is φ = 45519467212800.

The previous prime is 201100100212189. The next prime is 201100100212241. The reversal of 201100100212200 is 2212001001102.

201100100212200 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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30176361 + ... + 36232760.

It is an arithmetic number, because the mean of its divisors is an integer number (2542473235770).

Almost surely, 2^{201100100212200} is an apocalyptic number.

201100100212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100100212200 is an abundant number, since it is smaller than the sum of its proper divisors (531132191689560).

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

201100100212200 is a wasteful number, since it uses less digits than its factorization.

201100100212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66409257 (or 66409241 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201100100212200 its reverse (2212001001102), we get a palindrome (203312101213302).

The spelling of 201100100212200 in words is "two hundred one trillion, one hundred billion, one hundred million, two hundred twelve thousand, two hundred".