5505101106100 has 18 divisors (see below), whose sum is σ = 11946069400454. Its totient is φ = 2202040442400.

The previous prime is 5505101106091. The next prime is 5505101106103. The reversal of 5505101106100 is 16011015055.

It can be written as a sum of positive squares in 3 ways, for example, as 925278543396 + 4579822562704 = 961914^2 + 2140052^2 .

It is a super-2 number, since 2×5505101106100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5505101106103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27525505431 + ... + 27525505630.

Almost surely, 2^{5505101106100} is an apocalyptic number.

5505101106100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5505101106100 is an abundant number, since it is smaller than the sum of its proper divisors (6440968294354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5505101106100 is a wasteful number, since it uses less digits than its factorization.

5505101106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55051011075 (or 55051011068 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 5505101106100 in words is "five trillion, five hundred five billion, one hundred one million, one hundred six thousand, one hundred".