221101101020 has 48 divisors (see below), whose sum is σ = 465497625600. Its totient is φ = 88214918976.

The previous prime is 221101100971. The next prime is 221101101029. The reversal of 221101101020 is 20101101122.

It is a junction number, because it is equal to n+sod(n) for n = 221101100992 and 221101101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221101101029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16016081 + ... + 16029879.

It is an arithmetic number, because the mean of its divisors is an integer number (9697867200).

Almost surely, 2^221101101020 is an apocalyptic number.

221101101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221101101020 is an abundant number, since it is smaller than the sum of its proper divisors (244396524580).

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

221101101020 is a wasteful number, since it uses less digits than its factorization.

221101101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15794 (or 15792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221101101020 its reverse (20101101122), we get a palindrome (241202202142).

The spelling of 221101101020 in words is "two hundred twenty-one billion, one hundred one million, one hundred one thousand, twenty".