1121211120101 has 2 divisors, whose sum is σ = 1121211120102. Its totient is φ = 1121211120100.

The previous prime is 1121211120067. The next prime is 1121211120121. The reversal of 1121211120101 is 1010211121211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 758987697601 + 362223422500 = 871199^2 + 601850^2 .

It is a cyclic number.

It is not a de Polignac number, because 1121211120101 - 2⁶ = 1121211120037 is a prime.

It is a super-2 number, since 2×1121211120101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1121211120121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560605560050 + 560605560051.

It is an arithmetic number, because the mean of its divisors is an integer number (560605560051).

Almost surely, 2^{1121211120101} is an apocalyptic number.

It is an amenable number.

1121211120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121211120101 is an equidigital number, since it uses as much as digits as its factorization.

1121211120101 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 14.

Adding to 1121211120101 its reverse (1010211121211), we get a palindrome (2131422241312).

The spelling of 1121211120101 in words is "one trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, one hundred one".