1005551056101 has 32 divisors (see below), whose sum is σ = 1396918656000. Its totient is φ = 643024488960.

The previous prime is 1005551056093. The next prime is 1005551056171. The reversal of 1005551056101 is 1016501555001.

It is not a de Polignac number, because 1005551056101 - 2³ = 1005551056093 is a prime.

It is a super-2 number, since 2×1005551056101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005551056171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806550 + ... + 1631448.

It is an arithmetic number, because the mean of its divisors is an integer number (43653708000).

Almost surely, 2^{1005551056101} is an apocalyptic number.

It is an amenable number.

1005551056101 is a deficient number, since it is larger than the sum of its proper divisors (391367599899).

1005551056101 is an equidigital number, since it uses as much as digits as its factorization.

1005551056101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825129.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 1005551056101 in words is "one trillion, five billion, five hundred fifty-one million, fifty-six thousand, one hundred one".