221535512234001 has 96 divisors (see below), whose sum is σ = 373970338560000. Its totient is φ = 123771645195264.

The previous prime is 221535512233979. The next prime is 221535512234017. The reversal of 221535512234001 is 100432215535122.

221535512234001 is a `hidden beast` number, since 2 + 2 + 1 + 53 + 551 + 22 + 34 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 221535512234001 - 2¹⁰ = 221535512232977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221535512234801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185709235 + ... + 186898343.

It is an arithmetic number, because the mean of its divisors is an integer number (3895524360000).

Almost surely, 2^{221535512234001} is an apocalyptic number.

221535512234001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221535512234001 is a deficient number, since it is larger than the sum of its proper divisors (152434826325999).

221535512234001 is a wasteful number, since it uses less digits than its factorization.

221535512234001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189583 (or 1189580 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 221535512234001 its reverse (100432215535122), we get a palindrome (321967727769123).

The spelling of 221535512234001 in words is "two hundred twenty-one trillion, five hundred thirty-five billion, five hundred twelve million, two hundred thirty-four thousand, one".