102221121102121 has 16 divisors (see below), whose sum is σ = 118358130688000. Its totient is φ = 86468644695888.

The previous prime is 102221121102073. The next prime is 102221121102143. The reversal of 102221121102121 is 121201121122201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-102221121102121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102221121102151) 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 in 15 ways as a sum of consecutive naturals, for example, 41943321 + ... + 44313478.

It is an arithmetic number, because the mean of its divisors is an integer number (7397383168000).

Almost surely, 2^{102221121102121} is an apocalyptic number.

It is an amenable number.

102221121102121 is a deficient number, since it is larger than the sum of its proper divisors (16137009585879).

102221121102121 is an equidigital number, since it uses as much as digits as its factorization.

102221121102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86259028.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 102221121102121 its reverse (121201121122201), we get a palindrome (223422242224322).

The spelling of 102221121102121 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-one".