101221221112201 has 2 divisors, whose sum is σ = 101221221112202. Its totient is φ = 101221221112200.

The previous prime is 101221221112157. The next prime is 101221221112229. The reversal of 101221221112201 is 102211122122101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94521639506176 + 6699581606025 = 9722224^2 + 2588355^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221221112201 - 2³⁵ = 101186861373833 is a prime.

It is not a weakly prime, because it can be changed into another prime (101221221152201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610610556100 + 50610610556101.

It is an arithmetic number, because the mean of its divisors is an integer number (50610610556101).

Almost surely, 2^{101221221112201} is an apocalyptic number.

It is an amenable number.

101221221112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221221112201 is an equidigital number, since it uses as much as digits as its factorization.

101221221112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101221221112201 its reverse (102211122122101), we get a palindrome (203432343234302).

The spelling of 101221221112201 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred one".