101221111850081 has 2 divisors, whose sum is σ = 101221111850082. Its totient is φ = 101221111850080.

The previous prime is 101221111850057. The next prime is 101221111850087. The reversal of 101221111850081 is 180058111122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95194970617681 + 6026141232400 = 9756791^2 + 2454820^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221111850081 - 2²⁶ = 101221044741217 is a prime.

It is a super-2 number, since 2×101221111850081² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101221111850087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610555925040 + 50610555925041.

It is an arithmetic number, because the mean of its divisors is an integer number (50610555925041).

Almost surely, 2^{101221111850081} is an apocalyptic number.

It is an amenable number.

101221111850081 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221111850081 is an equidigital number, since it uses as much as digits as its factorization.

101221111850081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1280, while the sum is 32.

Adding to 101221111850081 its reverse (180058111122101), we get a palindrome (281279222972182).

The spelling of 101221111850081 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred eleven million, eight hundred fifty thousand, eighty-one".