221221101012001 has 2 divisors, whose sum is σ = 221221101012002. Its totient is φ = 221221101012000.

The previous prime is 221221101011983. The next prime is 221221101012013. The reversal of 221221101012001 is 100210101122122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217015324473600 + 4205776538401 = 14731440^2 + 2050799^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221101012001 - 2⁷ = 221221101011873 is a prime.

It is not a weakly prime, because it can be changed into another prime (221221101012061) 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 as a sum of consecutive naturals, namely, 110610550506000 + 110610550506001.

It is an arithmetic number, because the mean of its divisors is an integer number (110610550506001).

Almost surely, 2^{221221101012001} is an apocalyptic number.

It is an amenable number.

221221101012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221101012001 is an equidigital number, since it uses as much as digits as its factorization.

221221101012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221221101012001 its reverse (100210101122122), we get a palindrome (321431202134123).

The spelling of 221221101012001 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred one million, twelve thousand, one".