1102122110101 has 2 divisors, whose sum is σ = 1102122110102. Its totient is φ = 1102122110100.

The previous prime is 1102122110081. The next prime is 1102122110113. The reversal of 1102122110101 is 1010112212011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1101681152100 + 440958001 = 1049610^2 + 20999^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102122110101 - 2⁷ = 1102122109973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1102122113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551061055050 + 551061055051.

It is an arithmetic number, because the mean of its divisors is an integer number (551061055051).

Almost surely, 2^{1102122110101} is an apocalyptic number.

It is an amenable number.

1102122110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102122110101 is an equidigital number, since it uses as much as digits as its factorization.

1102122110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1102122110101 its reverse (1010112212011), we get a palindrome (2112234322112).

The spelling of 1102122110101 in words is "one trillion, one hundred two billion, one hundred twenty-two million, one hundred ten thousand, one hundred one".