221100020100 has 216 divisors, whose sum is σ = 704377069760. Its totient is φ = 57996829440.

The previous prime is 221100020077. The next prime is 221100020107. The reversal of 221100020100 is 1020001122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (221100020107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49986489 + ... + 49990911.

Almost surely, 2^221100020100 is an apocalyptic number.

221100020100 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 221100020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352188534880).

221100020100 is an abundant number, since it is smaller than the sum of its proper divisors (483277049660).

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

221100020100 is a wasteful number, since it uses less digits than its factorization.

221100020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221100020100 its reverse (1020001122), we get a palindrome (222120021222).

The spelling of 221100020100 in words is "two hundred twenty-one billion, one hundred million, twenty thousand, one hundred".