102221022010121 has 24 divisors (see below), whose sum is σ = 126212720576040. Its totient is φ = 82262393966592.

The previous prime is 102221022010039. The next prime is 102221022010123. The reversal of 102221022010121 is 121010220122201.

It can be written as a sum of positive squares in 4 ways, for example, as 50515646494096 + 51705375516025 = 7107436^2 + 7190645^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102221022010121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 102221022010121.

It is not an unprimeable number, because it can be changed into a prime (102221022010123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149676800 + ... + 150358193.

It is an arithmetic number, because the mean of its divisors is an integer number (5258863357335).

Almost surely, 2^{102221022010121} is an apocalyptic number.

It is an amenable number.

102221022010121 is a deficient number, since it is larger than the sum of its proper divisors (23991698565919).

102221022010121 is a wasteful number, since it uses less digits than its factorization.

102221022010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300035433 (or 300035426 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 102221022010121 its reverse (121010220122201), we get a palindrome (223231242132322).

The spelling of 102221022010121 in words is "one hundred two trillion, two hundred twenty-one billion, twenty-two million, ten thousand, one hundred twenty-one".