221101223100 has 144 divisors (see below), whose sum is σ = 677562133248. Its totient is φ = 55474703360.

The previous prime is 221101223099. The next prime is 221101223107. The reversal of 221101223100 is 1322101122.

It is a super-2 number, since 2×221101223100² (a number of 23 digits) contains 22 as substring.

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 221101223100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101223107) 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, 26245489 + ... + 26253911.

It is an arithmetic number, because the mean of its divisors is an integer number (4705292592).

Almost surely, 2^221101223100 is an apocalyptic number.

221101223100 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 221101223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338781066624).

221101223100 is an abundant number, since it is smaller than the sum of its proper divisors (456460910148).

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

221101223100 is a wasteful number, since it uses less digits than its factorization.

221101223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13604 (or 13597 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 221101223100 its reverse (1322101122), we get a palindrome (222423324222).

The spelling of 221101223100 in words is "two hundred twenty-one billion, one hundred one million, two hundred twenty-three thousand, one hundred".