221101100001201 has 64 divisors (see below), whose sum is σ = 342729563904000. Its totient is φ = 124166935411200.

The previous prime is 221101100001193. The next prime is 221101100001209. The reversal of 221101100001201 is 102100001101122.

It is an interprime number because it is at equal distance from previous prime (221101100001193) and next prime (221101100001209).

It is not a de Polignac number, because 221101100001201 - 2³ = 221101100001193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221101100001209) 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 63 ways as a sum of consecutive naturals, for example, 11699080450 + ... + 11699099348.

It is an arithmetic number, because the mean of its divisors is an integer number (5355149436000).

Almost surely, 2^{221101100001201} is an apocalyptic number.

221101100001201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221101100001201 is a deficient number, since it is larger than the sum of its proper divisors (121628463902799).

221101100001201 is a wasteful number, since it uses less digits than its factorization.

221101100001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26230.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221101100001201 its reverse (102100001101122), we get a palindrome (323201101102323).

The spelling of 221101100001201 in words is "two hundred twenty-one trillion, one hundred one billion, one hundred million, one thousand, two hundred one".