221311110134100 has 576 divisors, whose sum is σ = 747691344691200. Its totient is φ = 49499471831040.

The previous prime is 221311110134087. The next prime is 221311110134111. The reversal of 221311110134100 is 1431011113122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42486292296 + ... + 42486297504.

It is an arithmetic number, because the mean of its divisors is an integer number (1298075251200).

Almost surely, 2^{221311110134100} is an apocalyptic number.

221311110134100 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 221311110134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373845672345600).

221311110134100 is an abundant number, since it is smaller than the sum of its proper divisors (526380234557100).

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

221311110134100 is a wasteful number, since it uses less digits than its factorization.

221311110134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7632 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 221311110134100 its reverse (1431011113122), we get a palindrome (222742121247222).

The spelling of 221311110134100 in words is "two hundred twenty-one trillion, three hundred eleven billion, one hundred ten million, one hundred thirty-four thousand, one hundred".