1102212201121 has 2 divisors, whose sum is σ = 1102212201122. Its totient is φ = 1102212201120.

The previous prime is 1102212201109. The next prime is 1102212201157. The reversal of 1102212201121 is 1211022122011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 948751973521 + 153460227600 = 974039^2 + 391740^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102212201121 - 2⁵ = 1102212201089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1102212201095 and 1102212201104.

It is not a weakly prime, because it can be changed into another prime (1102212201721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551106100560 + 551106100561.

It is an arithmetic number, because the mean of its divisors is an integer number (551106100561).

Almost surely, 2^{1102212201121} is an apocalyptic number.

It is an amenable number.

1102212201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102212201121 is an equidigital number, since it uses as much as digits as its factorization.

1102212201121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1102212201121 its reverse (1211022122011), we get a palindrome (2313234323132).

The spelling of 1102212201121 in words is "one trillion, one hundred two billion, two hundred twelve million, two hundred one thousand, one hundred twenty-one".