221301300112100 has 144 divisors (see below), whose sum is σ = 524154230315520. Its totient is φ = 80608573094400.

The previous prime is 221301300112073. The next prime is 221301300112157. The reversal of 221301300112100 is 1211003103122.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 120376409 + ... + 122200991.

Almost surely, 2^{221301300112100} is an apocalyptic number.

221301300112100 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 221301300112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262077115157760).

221301300112100 is an abundant number, since it is smaller than the sum of its proper divisors (302852930203420).

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

221301300112100 is a wasteful number, since it uses less digits than its factorization.

221301300112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825870 (or 1825863 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 221301300112100 its reverse (1211003103122), we get a palindrome (222512303215222).

The spelling of 221301300112100 in words is "two hundred twenty-one trillion, three hundred one billion, three hundred million, one hundred twelve thousand, one hundred".