221001101100 has 432 divisors, whose sum is σ = 786843701280. Its totient is φ = 51433574400.

The previous prime is 221001101077. The next prime is 221001101143. The reversal of 221001101100 is 1101100122.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 208294570 + ... + 208295630.

Almost surely, 2^221001101100 is an apocalyptic number.

221001101100 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 221001101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393421850640).

221001101100 is an abundant number, since it is smaller than the sum of its proper divisors (565842600180).

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

221001101100 is a wasteful number, since it uses less digits than its factorization.

221001101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 221001101100 its reverse (1101100122), we get a palindrome (222102201222).

The spelling of 221001101100 in words is "two hundred twenty-one billion, one million, one hundred one thousand, one hundred".