55500101111101 has 2 divisors, whose sum is σ = 55500101111102. Its totient is φ = 55500101111100.

The previous prime is 55500101111093. The next prime is 55500101111149. The reversal of 55500101111101 is 10111110100555.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28367618167876 + 27132482943225 = 5326126^2 + 5208885^2 .

It is a cyclic number.

It is not a de Polignac number, because 55500101111101 - 2³ = 55500101111093 is a prime.

It is a super-2 number, since 2×55500101111101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55500101111501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27750050555550 + 27750050555551.

It is an arithmetic number, because the mean of its divisors is an integer number (27750050555551).

Almost surely, 2^{55500101111101} is an apocalyptic number.

It is an amenable number.

55500101111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

55500101111101 is an equidigital number, since it uses as much as digits as its factorization.

55500101111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 22.

Adding to 55500101111101 its reverse (10111110100555), we get a palindrome (65611211211656).

The spelling of 55500101111101 in words is "fifty-five trillion, five hundred billion, one hundred one million, one hundred eleven thousand, one hundred one".