1005055055101 has 4 divisors (see below), whose sum is σ = 1057952689600. Its totient is φ = 952157420604.

The previous prime is 1005055055093. The next prime is 1005055055129. The reversal of 1005055055101 is 1015505505001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1005055055101 - 2³ = 1005055055093 is a prime.

It is a super-2 number, since 2×1005055055101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005055055101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005055025101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26448817221 + ... + 26448817258.

It is an arithmetic number, because the mean of its divisors is an integer number (264488172400).

Almost surely, 2^{1005055055101} is an apocalyptic number.

It is an amenable number.

1005055055101 is a deficient number, since it is larger than the sum of its proper divisors (52897634499).

1005055055101 is an equidigital number, since it uses as much as digits as its factorization.

1005055055101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52897634498.

The product of its (nonzero) digits is 3125, while the sum is 28.

The spelling of 1005055055101 in words is "one trillion, five billion, fifty-five million, fifty-five thousand, one hundred one".