221111100100 has 144 divisors (see below), whose sum is σ = 554557631040. Its totient is φ = 75628339200.

The previous prime is 221111100079. The next prime is 221111100103. The reversal of 221111100100 is 1001111122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (221111100103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47476972 + ... + 47481628.

It is an arithmetic number, because the mean of its divisors is an integer number (3851094660).

Almost surely, 2^221111100100 is an apocalyptic number.

221111100100 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 221111100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277278815520).

221111100100 is an abundant number, since it is smaller than the sum of its proper divisors (333446530940).

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

221111100100 is a wasteful number, since it uses less digits than its factorization.

221111100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7238 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 221111100100 its reverse (1001111122), we get a palindrome (222112211222).

It can be divided in two parts, 22111 and 1100100, that added together give a palindrome (1122211).

The spelling of 221111100100 in words is "two hundred twenty-one billion, one hundred eleven million, one hundred thousand, one hundred".