1005556010101 has 8 divisors (see below), whose sum is σ = 1008873751424. Its totient is φ = 1002238544160.

The previous prime is 1005556010077. The next prime is 1005556010159. The reversal of 1005556010101 is 1010106555001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005556010101 - 2⁷ = 1005556009973 is a prime.

It is a super-2 number, since 2×1005556010101² (a number of 25 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 (1005556011101) 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 in 7 ways as a sum of consecutive naturals, for example, 9372481 + ... + 9479161.

It is an arithmetic number, because the mean of its divisors is an integer number (126109218928).

Almost surely, 2^{1005556010101} is an apocalyptic number.

It is an amenable number.

1005556010101 is a deficient number, since it is larger than the sum of its proper divisors (3317741323).

1005556010101 is a wasteful number, since it uses less digits than its factorization.

1005556010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137691.

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

The spelling of 1005556010101 in words is "one trillion, five billion, five hundred fifty-six million, ten thousand, one hundred one".