101101005345 has 16 divisors (see below), whose sum is σ = 161844567552. Its totient is φ = 53892883200.

The previous prime is 101101005307. The next prime is 101101005349. The reversal of 101101005345 is 543500101101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101101005345 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101005349) by changing a digit.

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, 1698072 + ... + 1756601.

It is an arithmetic number, because the mean of its divisors is an integer number (10115285472).

Almost surely, 2^101101005345 is an apocalyptic number.

101101005345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101101005345 is a deficient number, since it is larger than the sum of its proper divisors (60743562207).

101101005345 is a wasteful number, since it uses less digits than its factorization.

101101005345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456632.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 101101005345 its reverse (543500101101), we get a palindrome (644601106446).

The spelling of 101101005345 in words is "one hundred one billion, one hundred one million, five thousand, three hundred forty-five".