201110022211100 has 72 divisors (see below), whose sum is σ = 442651986459648. Its totient is φ = 79293676369600.

The previous prime is 201110022211099. The next prime is 201110022211181. The reversal of 201110022211100 is 1112220011102.

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, 29449037 + ... + 35629563.

It is an arithmetic number, because the mean of its divisors is an integer number (6147944256384).

Almost surely, 2^{201110022211100} is an apocalyptic number.

201110022211100 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 201110022211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221325993229824).

201110022211100 is an abundant number, since it is smaller than the sum of its proper divisors (241541964248548).

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

201110022211100 is a wasteful number, since it uses less digits than its factorization.

201110022211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185195 (or 6185188 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201110022211100 its reverse (1112220011102), we get a palindrome (202222242222202).

The spelling of 201110022211100 in words is "two hundred one trillion, one hundred ten billion, twenty-two million, two hundred eleven thousand, one hundred".