101221110025201 has 2 divisors, whose sum is σ = 101221110025202. Its totient is φ = 101221110025200.

The previous prime is 101221110025183. The next prime is 101221110025247. The reversal of 101221110025201 is 102520011122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75303796306176 + 25917313719025 = 8677776^2 + 5090905^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221110025201 - 2²³ = 101221101636593 is a prime.

It is a super-2 number, since 2×101221110025201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101221150025201) 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, 50610555012600 + 50610555012601.

It is an arithmetic number, because the mean of its divisors is an integer number (50610555012601).

Almost surely, 2^{101221110025201} is an apocalyptic number.

It is an amenable number.

101221110025201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221110025201 is an equidigital number, since it uses as much as digits as its factorization.

101221110025201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 101221110025201 its reverse (102520011122101), we get a palindrome (203741121147302).

The spelling of 101221110025201 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred ten million, twenty-five thousand, two hundred one".