101001100005 has 36 divisors (see below), whose sum is σ = 189571309668. Its totient is φ = 49723614720.

The previous prime is 101001100003. The next prime is 101001100027. The reversal of 101001100005 is 500001100101.

It can be written as a sum of positive squares in 6 ways, for example, as 28419890724 + 72581209281 = 168582^2 + 269409^2 .

It is not a de Polignac number, because 101001100005 - 2¹ = 101001100003 is a prime.

It is a super-2 number, since 2×101001100005² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101001100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001100003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6632836 + ... + 6648045.

It is an arithmetic number, because the mean of its divisors is an integer number (5265869713).

Almost surely, 2^101001100005 is an apocalyptic number.

101001100005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101001100005 is a deficient number, since it is larger than the sum of its proper divisors (88570209663).

101001100005 is a wasteful number, since it uses less digits than its factorization.

101001100005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13280918 (or 13280902 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 101001100005 its reverse (500001100101), we get a palindrome (601002200106).

The spelling of 101001100005 in words is "one hundred one billion, one million, one hundred thousand, five".