101816837541 has 32 divisors (see below), whose sum is σ = 154611354240. Its totient is φ = 66182659200.

The previous prime is 101816837539. The next prime is 101816837561. The reversal of 101816837541 is 145738618101.

101816837541 is a `hidden beast` number, since 1 + 0 + 18 + 1 + 68 + 37 + 541 = 666.

It is not a de Polignac number, because 101816837541 - 2¹ = 101816837539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101816837501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1880671 + ... + 1934051.

It is an arithmetic number, because the mean of its divisors is an integer number (4831604820).

Almost surely, 2^101816837541 is an apocalyptic number.

It is an amenable number.

101816837541 is a deficient number, since it is larger than the sum of its proper divisors (52794516699).

101816837541 is a wasteful number, since it uses less digits than its factorization.

101816837541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55154 (or 55148 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 101816837541 in words is "one hundred one billion, eight hundred sixteen million, eight hundred thirty-seven thousand, five hundred forty-one".