101041221601 has 2 divisors, whose sum is σ = 101041221602. Its totient is φ = 101041221600.

The previous prime is 101041221563. The next prime is 101041221623. The reversal of 101041221601 is 106122140101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91554656400 + 9486565201 = 302580^2 + 97399^2 .

It is a cyclic number.

It is not a de Polignac number, because 101041221601 - 2²³ = 101032832993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101041221401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50520610800 + 50520610801.

It is an arithmetic number, because the mean of its divisors is an integer number (50520610801).

Almost surely, 2^101041221601 is an apocalyptic number.

It is an amenable number.

101041221601 is a deficient number, since it is larger than the sum of its proper divisors (1).

101041221601 is an equidigital number, since it uses as much as digits as its factorization.

101041221601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 101041221601 its reverse (106122140101), we get a palindrome (207163361702).

The spelling of 101041221601 in words is "one hundred one billion, forty-one million, two hundred twenty-one thousand, six hundred one".