102221121120101 has 2 divisors, whose sum is σ = 102221121120102. Its totient is φ = 102221121120100.

The previous prime is 102221121120043. The next prime is 102221121120163. The reversal of 102221121120101 is 101021121122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53179812417601 + 49041308702500 = 7292449^2 + 7002950^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102221121120101 is a prime.

It is a super-3 number, since 3×102221121120101³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102221121120101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102221121126101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110560560050 + 51110560560051.

It is an arithmetic number, because the mean of its divisors is an integer number (51110560560051).

Almost surely, 2^{102221121120101} is an apocalyptic number.

It is an amenable number.

102221121120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221121120101 is an equidigital number, since it uses as much as digits as its factorization.

102221121120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102221121120101 its reverse (101021121122201), we get a palindrome (203242242242302).

The spelling of 102221121120101 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred one".