101481654141585 has 48 divisors (see below), whose sum is σ = 176295155714496. Its totient is φ = 54002532818304.

The previous prime is 101481654141563. The next prime is 101481654141613. The reversal of 101481654141585 is 585141456184101.

101481654141585 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 8 + 1 + 6 + 54 + 1 + 4 + 1 + 585 = 666.

It is not a de Polignac number, because 101481654141585 - 2³¹ = 101479506657937 is a prime.

It is a super-2 number, since 2×101481654141585² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48557562 + ... + 50604348.

It is an arithmetic number, because the mean of its divisors is an integer number (3672815744052).

Almost surely, 2^{101481654141585} is an apocalyptic number.

101481654141585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101481654141585 is a deficient number, since it is larger than the sum of its proper divisors (74813501572911).

101481654141585 is a wasteful number, since it uses less digits than its factorization.

101481654141585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049262 (or 2049259 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 101481654141585 in words is "one hundred one trillion, four hundred eighty-one billion, six hundred fifty-four million, one hundred forty-one thousand, five hundred eighty-five".