102221202201101 has 2 divisors, whose sum is σ = 102221202201102. Its totient is φ = 102221202201100.

The previous prime is 102221202201061. The next prime is 102221202201133. The reversal of 102221202201101 is 101102202122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75538243743076 + 26682958458025 = 8691274^2 + 5165555^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221202201101 - 2⁴² = 97823155689997 is a prime.

It is a super-2 number, since 2×102221202201101² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102221202201101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221202251101) 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, 51110601100550 + 51110601100551.

It is an arithmetic number, because the mean of its divisors is an integer number (51110601100551).

Almost surely, 2^{102221202201101} is an apocalyptic number.

It is an amenable number.

102221202201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221202201101 is an equidigital number, since it uses as much as digits as its factorization.

102221202201101 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 17.

Adding to 102221202201101 its reverse (101102202122201), we get a palindrome (203323404323302).

The spelling of 102221202201101 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred two million, two hundred one thousand, one hundred one".