221110211201100 has 1152 divisors, whose sum is σ = 755868741304320. Its totient is φ = 49418035200000.

The previous prime is 221110211201027. The next prime is 221110211201101. The reversal of 221110211201100 is 1102112011122.

It is a happy number.

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 221110211201100.

It is not an unprimeable number, because it can be changed into a prime (221110211201101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 111278414307 + ... + 111278416293.

It is an arithmetic number, because the mean of its divisors is an integer number (656136060160).

Almost surely, 2^{221110211201100} is an apocalyptic number.

221110211201100 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 221110211201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377934370652160).

221110211201100 is an abundant number, since it is smaller than the sum of its proper divisors (534758530103220).

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

221110211201100 is a wasteful number, since it uses less digits than its factorization.

221110211201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2504 counting only the distinct ones).

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

Adding to 221110211201100 its reverse (1102112011122), we get a palindrome (222212323212222).

The spelling of 221110211201100 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred eleven million, two hundred one thousand, one hundred".