201211110221100 has 72 divisors (see below), whose sum is σ = 665338071138048. Its totient is φ = 45991110907200.

The previous prime is 201211110221047. The next prime is 201211110221113. The reversal of 201211110221100 is 1122011112102.

It is a happy number.

201211110221100 is digitally balanced in base 2 and base 3, because in such bases 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 201211110221100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47907405096 + ... + 47907409295.

It is an arithmetic number, because the mean of its divisors is an integer number (9240806543584).

Almost surely, 2^{201211110221100} is an apocalyptic number.

201211110221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211110221100 is an abundant number, since it is smaller than the sum of its proper divisors (464126960916948).

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

201211110221100 is a wasteful number, since it uses less digits than its factorization.

201211110221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95814814415 (or 95814814408 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201211110221100 its reverse (1122011112102), we get a palindrome (202333121333202).

The spelling of 201211110221100 in words is "two hundred one trillion, two hundred eleven billion, one hundred ten million, two hundred twenty-one thousand, one hundred".