101111005005 has 16 divisors (see below), whose sum is σ = 166149976704. Its totient is φ = 52468413120.

The previous prime is 101111004971. The next prime is 101111005007. The reversal of 101111005005 is 500500111101.

It is not a de Polignac number, because 101111005005 - 2²³ = 101102616397 is a prime.

It is a super-2 number, since 2×101111005005² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111005007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91090441 + ... + 91091550.

It is an arithmetic number, because the mean of its divisors is an integer number (10384373544).

Almost surely, 2^101111005005 is an apocalyptic number.

101111005005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101111005005 is a deficient number, since it is larger than the sum of its proper divisors (65038971699).

101111005005 is a wasteful number, since it uses less digits than its factorization.

101111005005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182182036.

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 101111005005 its reverse (500500111101), we get a palindrome (601611116106).

The spelling of 101111005005 in words is "one hundred one billion, one hundred eleven million, five thousand, five".