55505550000101 has 2 divisors, whose sum is σ = 55505550000102. Its totient is φ = 55505550000100.

The previous prime is 55505550000077. The next prime is 55505550000113. The reversal of 55505550000101 is 10100005550555.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45195838156225 + 10309711843876 = 6722785^2 + 3210874^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-55505550000101 is a prime.

It is a super-2 number, since 2×55505550000101² (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 (55505550000001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27752775000050 + 27752775000051.

It is an arithmetic number, because the mean of its divisors is an integer number (27752775000051).

Almost surely, 2^{55505550000101} is an apocalyptic number.

It is an amenable number.

55505550000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

55505550000101 is an equidigital number, since it uses as much as digits as its factorization.

55505550000101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15625, while the sum is 32.

Adding to 55505550000101 its reverse (10100005550555), we get a palindrome (65605555550656).

The spelling of 55505550000101 in words is "fifty-five trillion, five hundred five billion, five hundred fifty million, one hundred one", and thus it is an aban number.