101041635345 has 32 divisors (see below), whose sum is σ = 186110500608. Its totient is φ = 45853298688.

The previous prime is 101041635329. The next prime is 101041635347. The reversal of 101041635345 is 543536140101.

It is a happy number.

It is not a de Polignac number, because 101041635345 - 2⁴ = 101041635329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101041635347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3497664 + ... + 3526433.

It is an arithmetic number, because the mean of its divisors is an integer number (5815953144).

Almost surely, 2^101041635345 is an apocalyptic number.

101041635345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101041635345 is a deficient number, since it is larger than the sum of its proper divisors (85068865263).

101041635345 is a wasteful number, since it uses less digits than its factorization.

101041635345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024249.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 101041635345 its reverse (543536140101), we get a palindrome (644577775446).

The spelling of 101041635345 in words is "one hundred one billion, forty-one million, six hundred thirty-five thousand, three hundred forty-five".