221011000100 has 288 divisors, whose sum is σ = 581789429760. Its totient is φ = 71959104000.

The previous prime is 221011000073. The next prime is 221011000121. The reversal of 221011000100 is 1000110122.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27855734 + ... + 27863666.

Almost surely, 2^221011000100 is an apocalyptic number.

221011000100 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 221011000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290894714880).

221011000100 is an abundant number, since it is smaller than the sum of its proper divisors (360778429660).

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

221011000100 is a wasteful number, since it uses less digits than its factorization.

221011000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8051 (or 8044 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 221011000100 its reverse (1000110122), we get a palindrome (222011110222).

It can be divided in two parts, 22101 and 1000100, that added together give a palindrome (1022201).

The spelling of 221011000100 in words is "two hundred twenty-one billion, eleven million, one hundred", and thus it is an aban number.