102111201221121 has 20 divisors (see below), whose sum is σ = 152696545161732. Its totient is φ = 68002702685568.

The previous prime is 102111201221047. The next prime is 102111201221171. The reversal of 102111201221121 is 121122102111201.

It is a happy number.

102111201221121 is a `hidden beast` number, since 10 + 2 + 111 + 201 + 221 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73521861611121 + 28589339610000 = 8574489^2 + 5346900^2 .

It is not a de Polignac number, because 102111201221121 - 2¹⁴ = 102111201204737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102111201221094 and 102111201221103.

It is not an unprimeable number, because it can be changed into a prime (102111201221171) 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 19 ways as a sum of consecutive naturals, for example, 661324756 + ... + 661479141.

Almost surely, 2^{102111201221121} is an apocalyptic number.

It is an amenable number.

102111201221121 is a deficient number, since it is larger than the sum of its proper divisors (50585343940611).

102111201221121 is an equidigital number, since it uses as much as digits as its factorization.

102111201221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322804862 (or 1322804853 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102111201221121 its reverse (121122102111201), we get a palindrome (223233303332322).

The spelling of 102111201221121 in words is "one hundred two trillion, one hundred eleven billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty-one".