221321101042041 has 128 divisors (see below), whose sum is σ = 402989940326400. Its totient is φ = 104314716518400.

The previous prime is 221321101042007. The next prime is 221321101042061. The reversal of 221321101042041 is 140240101123122.

It is not a de Polignac number, because 221321101042041 - 2⁷ = 221321101041913 is a prime.

It is a super-2 number, since 2×221321101042041² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221321101042061) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260244885 + ... + 261093933.

It is an arithmetic number, because the mean of its divisors is an integer number (3148358908800).

Almost surely, 2^{221321101042041} is an apocalyptic number.

221321101042041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221321101042041 is a deficient number, since it is larger than the sum of its proper divisors (181668839284359).

221321101042041 is a wasteful number, since it uses less digits than its factorization.

221321101042041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850567.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 221321101042041 its reverse (140240101123122), we get a palindrome (361561202165163).

The spelling of 221321101042041 in words is "two hundred twenty-one trillion, three hundred twenty-one billion, one hundred one million, forty-two thousand, forty-one".