5005561050101 has 16 divisors (see below), whose sum is σ = 5324156956800. Its totient is φ = 4689693964800.

The previous prime is 5005561050089. The next prime is 5005561050103. The reversal of 5005561050101 is 1010501655005.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 5005561050101 - 2³⁰ = 5004487308277 is a prime.

It is a super-2 number, since 2×5005561050101² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005561050103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2825201 + ... + 4241801.

It is an arithmetic number, because the mean of its divisors is an integer number (332759809800).

Almost surely, 2^{5005561050101} is an apocalyptic number.

It is an amenable number.

5005561050101 is a deficient number, since it is larger than the sum of its proper divisors (318595906699).

5005561050101 is a wasteful number, since it uses less digits than its factorization.

5005561050101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417564.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 5005561050101 in words is "five trillion, five billion, five hundred sixty-one million, fifty thousand, one hundred one".