221233004340101 has 32 divisors (see below), whose sum is σ = 255105592197120. Its totient is φ = 190038785181696.

The previous prime is 221233004340071. The next prime is 221233004340143. The reversal of 221233004340101 is 101043400332122.

It is a cyclic number.

It is not a de Polignac number, because 221233004340101 - 2¹⁴ = 221233004323717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221233004342101) 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 31 ways as a sum of consecutive naturals, for example, 1248637220 + ... + 1248814386.

It is an arithmetic number, because the mean of its divisors is an integer number (7972049756160).

Almost surely, 2^{221233004340101} is an apocalyptic number.

It is an amenable number.

221233004340101 is a deficient number, since it is larger than the sum of its proper divisors (33872587857019).

221233004340101 is a wasteful number, since it uses less digits than its factorization.

221233004340101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240773.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 221233004340101 its reverse (101043400332122), we get a palindrome (322276404672223).

The spelling of 221233004340101 in words is "two hundred twenty-one trillion, two hundred thirty-three billion, four million, three hundred forty thousand, one hundred one".