221011221022100 has 72 divisors (see below), whose sum is σ = 500460100378560. Its totient is φ = 84558479399680.

The previous prime is 221011221022093. The next prime is 221011221022103. The reversal of 221011221022100 is 1220122110122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011221022103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83131211 + ... + 85748589.

It is an arithmetic number, because the mean of its divisors is an integer number (6950834727480).

Almost surely, 2^{221011221022100} is an apocalyptic number.

221011221022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011221022100 is an abundant number, since it is smaller than the sum of its proper divisors (279448879356460).

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

221011221022100 is a wasteful number, since it uses less digits than its factorization.

221011221022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654129 (or 2654122 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 221011221022100 its reverse (1220122110122), we get a palindrome (222231343132222).

The spelling of 221011221022100 in words is "two hundred twenty-one trillion, eleven billion, two hundred twenty-one million, twenty-two thousand, one hundred".