20111122201100 has 144 divisors (see below), whose sum is σ = 52898514153408. Its totient is φ = 6478693416960.

The previous prime is 20111122201091. The next prime is 20111122201139. The reversal of 20111122201100 is 110222111102.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 5631734 + ... + 8481666.

It is an arithmetic number, because the mean of its divisors is an integer number (367350792732).

Almost surely, 2^{20111122201100} is an apocalyptic number.

20111122201100 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 20111122201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26449257076704).

20111122201100 is an abundant number, since it is smaller than the sum of its proper divisors (32787391952308).

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

20111122201100 is a wasteful number, since it uses less digits than its factorization.

20111122201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850564 (or 2850557 counting only the distinct ones).

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

Adding to 20111122201100 its reverse (110222111102), we get a palindrome (20221344312202).

The spelling of 20111122201100 in words is "twenty trillion, one hundred eleven billion, one hundred twenty-two million, two hundred one thousand, one hundred".