201102211100 has 144 divisors (see below), whose sum is σ = 541918648320. Its totient is φ = 63213177600.

The previous prime is 201102211033. The next prime is 201102211129. The reversal of 201102211100 is 1112201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168422 + ... + 656178.

Almost surely, 2^201102211100 is an apocalyptic number.

201102211100 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 201102211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270959324160).

201102211100 is an abundant number, since it is smaller than the sum of its proper divisors (340816437220).

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

201102211100 is a wasteful number, since it uses less digits than its factorization.

201102211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487828 (or 487821 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 201102211100 its reverse (1112201102), we get a palindrome (202214412202).

The spelling of 201102211100 in words is "two hundred one billion, one hundred two million, two hundred eleven thousand, one hundred".