1005005506101 has 8 divisors (see below), whose sum is σ = 1340189709600. Its totient is φ = 669912486672.

The previous prime is 1005005506081. The next prime is 1005005506121. The reversal of 1005005506101 is 1016055005001.

It is an interprime number because it is at equal distance from previous prime (1005005506081) and next prime (1005005506121).

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

It is not a de Polignac number, because 1005005506101 - 2⁵ = 1005005506069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005005506121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22770295 + ... + 22814388.

It is an arithmetic number, because the mean of its divisors is an integer number (167523713700).

Almost surely, 2^{1005005506101} is an apocalyptic number.

It is an amenable number.

1005005506101 is a deficient number, since it is larger than the sum of its proper divisors (335184203499).

1005005506101 is an equidigital number, since it uses as much as digits as its factorization.

1005005506101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45592035.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 1005005506101 in words is "one trillion, five billion, five million, five hundred six thousand, one hundred one".