11055061010101 has 2 divisors, whose sum is σ = 11055061010102. Its totient is φ = 11055061010100.

The previous prime is 11055061010089. The next prime is 11055061010107. The reversal of 11055061010101 is 10101016055011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8546793780100 + 2508267230001 = 2923490^2 + 1583751^2 .

It is a cyclic number.

It is not a de Polignac number, because 11055061010101 - 2⁵ = 11055061010069 is a prime.

It is a super-3 number, since 3×11055061010101³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11055061010107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5527530505050 + 5527530505051.

It is an arithmetic number, because the mean of its divisors is an integer number (5527530505051).

Almost surely, 2^{11055061010101} is an apocalyptic number.

It is an amenable number.

11055061010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11055061010101 is an equidigital number, since it uses as much as digits as its factorization.

11055061010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 22.

Adding to 11055061010101 its reverse (10101016055011), we get a palindrome (21156077065112).

The spelling of 11055061010101 in words is "eleven trillion, fifty-five billion, sixty-one million, ten thousand, one hundred one".