1122201110101 has 2 divisors, whose sum is σ = 1122201110102. Its totient is φ = 1122201110100.

The previous prime is 1122201110089. The next prime is 1122201110113. The reversal of 1122201110101 is 1010111022211.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1122201110089) and next prime (1122201110113).

It can be written as a sum of positive squares in only one way, i.e., 1045610547601 + 76590562500 = 1022551^2 + 276750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1122201110101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1122201110501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 561100555050 + 561100555051.

It is an arithmetic number, because the mean of its divisors is an integer number (561100555051).

Almost surely, 2^{1122201110101} is an apocalyptic number.

It is an amenable number.

1122201110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1122201110101 is an equidigital number, since it uses as much as digits as its factorization.

1122201110101 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 1122201110101 its reverse (1010111022211), we get a palindrome (2132312132312).

The spelling of 1122201110101 in words is "one trillion, one hundred twenty-two billion, two hundred one million, one hundred ten thousand, one hundred one".