101106001065 has 16 divisors (see below), whose sum is σ = 164511460800. Its totient is φ = 53009247552.

The previous prime is 101106001057. The next prime is 101106001109. The reversal of 101106001065 is 560100601101.

It is not a de Polignac number, because 101106001065 - 2³ = 101106001057 is a prime.

It is a super-2 number, since 2×101106001065² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57121150 + ... + 57122919.

It is an arithmetic number, because the mean of its divisors is an integer number (10281966300).

Almost surely, 2^101106001065 is an apocalyptic number.

101106001065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101106001065 is a deficient number, since it is larger than the sum of its proper divisors (63405459735).

101106001065 is a wasteful number, since it uses less digits than its factorization.

101106001065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114244136.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 101106001065 its reverse (560100601101), we get a palindrome (661206602166).

The spelling of 101106001065 in words is "one hundred one billion, one hundred six million, one thousand, sixty-five".