221101011232001 has 2 divisors, whose sum is σ = 221101011232002. Its totient is φ = 221101011232000.

The previous prime is 221101011231979. The next prime is 221101011232051. The reversal of 221101011232001 is 100232110101122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144999552563776 + 76101458668225 = 12041576^2 + 8723615^2 .

It is a cyclic number.

It is not a de Polignac number, because 221101011232001 - 2²² = 221101007037697 is a prime.

It is not a weakly prime, because it can be changed into another prime (221101011232051) 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 as a sum of consecutive naturals, namely, 110550505616000 + 110550505616001.

It is an arithmetic number, because the mean of its divisors is an integer number (110550505616001).

Almost surely, 2^{221101011232001} is an apocalyptic number.

It is an amenable number.

221101011232001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221101011232001 is an equidigital number, since it uses as much as digits as its factorization.

221101011232001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 221101011232001 its reverse (100232110101122), we get a palindrome (321333121333123).

The spelling of 221101011232001 in words is "two hundred twenty-one trillion, one hundred one billion, eleven million, two hundred thirty-two thousand, one".