101817734734141 has 16 divisors (see below), whose sum is σ = 107957181406320. Its totient is φ = 95695057469440.

The previous prime is 101817734734129. The next prime is 101817734734187. The reversal of 101817734734141 is 141437437718101.

It can be written as a sum of positive squares in 8 ways, for example, as 1269565562500 + 100548169171641 = 1126750^2 + 10027371^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101817734734141 is a prime.

It is a super-2 number, since 2×101817734734141² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101817734737141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37496775 + ... + 40120363.

It is an arithmetic number, because the mean of its divisors is an integer number (6747323837895).

Almost surely, 2^{101817734734141} is an apocalyptic number.

It is an amenable number.

101817734734141 is a deficient number, since it is larger than the sum of its proper divisors (6139446672179).

101817734734141 is a wasteful number, since it uses less digits than its factorization.

101817734734141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626784.

The product of its (nonzero) digits is 1580544, while the sum is 52.

The spelling of 101817734734141 in words is "one hundred one trillion, eight hundred seventeen billion, seven hundred thirty-four million, seven hundred thirty-four thousand, one hundred forty-one".