12011111102101 has 2 divisors, whose sum is σ = 12011111102102. Its totient is φ = 12011111102100.

The previous prime is 12011111102093. The next prime is 12011111102183. The reversal of 12011111102101 is 10120111111021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8010315062500 + 4000796039601 = 2830250^2 + 2000199^2 .

It is a cyclic number.

It is not a de Polignac number, because 12011111102101 - 2³ = 12011111102093 is a prime.

It is a super-2 number, since 2×12011111102101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12011111102701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6005555551050 + 6005555551051.

It is an arithmetic number, because the mean of its divisors is an integer number (6005555551051).

Almost surely, 2^{12011111102101} is an apocalyptic number.

It is an amenable number.

12011111102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12011111102101 is an equidigital number, since it uses as much as digits as its factorization.

12011111102101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 12011111102101 its reverse (10120111111021), we get a palindrome (22131222213122).

The spelling of 12011111102101 in words is "twelve trillion, eleven billion, one hundred eleven million, one hundred two thousand, one hundred one".