221312132300100 has 72 divisors (see below), whose sum is σ = 640408142693088. Its totient is φ = 59009345273600.

The previous prime is 221312132300099. The next prime is 221312132300101. The reversal of 221312132300100 is 1003231213122.

It is an interprime number because it is at equal distance from previous prime (221312132300099) and next prime (221312132300101).

It is not an unprimeable number, because it can be changed into a prime (221312132300101) 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 23 ways as a sum of consecutive naturals, for example, 42690489 + ... + 47593088.

It is an arithmetic number, because the mean of its divisors is an integer number (8894557537404).

Almost surely, 2^{221312132300100} is an apocalyptic number.

221312132300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221312132300100 is an abundant number, since it is smaller than the sum of its proper divisors (419096010392988).

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

221312132300100 is a wasteful number, since it uses less digits than its factorization.

221312132300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90291765 (or 90291758 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221312132300100 its reverse (1003231213122), we get a palindrome (222315363513222).

The spelling of 221312132300100 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred thirty-two million, three hundred thousand, one hundred".