201211122110100 has 72 divisors (see below), whose sum is σ = 583496976511680. Its totient is φ = 53534075278080.

The previous prime is 201211122110083. The next prime is 201211122110111. The reversal of 201211122110100 is 1011221112102.

It is a happy number.

201211122110100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201211122110100.

It is a congruent number.

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, 763767777 + ... + 764031176.

Almost surely, 2^{201211122110100} is an apocalyptic number.

201211122110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211122110100 is an abundant number, since it is smaller than the sum of its proper divisors (382285854401580).

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

201211122110100 is a wasteful number, since it uses less digits than its factorization.

201211122110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527799409 (or 1527799402 counting only the distinct ones).

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

Adding to 201211122110100 its reverse (1011221112102), we get a palindrome (202222343222202).

The spelling of 201211122110100 in words is "two hundred one trillion, two hundred eleven billion, one hundred twenty-two million, one hundred ten thousand, one hundred".