101548061482761 has 12 divisors (see below), whose sum is σ = 151738482675780. Its totient is φ = 65364269460000.

The previous prime is 101548061482741. The next prime is 101548061482793. The reversal of 101548061482761 is 167284160845101.

101548061482761 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 48 + 0 + 61 + 482 + 7 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 44737637504400 + 56810423978361 = 6688620^2 + 7537269^2 .

It is not a de Polignac number, because 101548061482761 - 2¹⁴ = 101548061466377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101548061482698 and 101548061482707.

It is not an unprimeable number, because it can be changed into a prime (101548061482741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194536515990 + ... + 194536516511.

It is an arithmetic number, because the mean of its divisors is an integer number (12644873556315).

Almost surely, 2^{101548061482761} is an apocalyptic number.

It is an amenable number.

101548061482761 is a deficient number, since it is larger than the sum of its proper divisors (50190421193019).

101548061482761 is a wasteful number, since it uses less digits than its factorization.

101548061482761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389073032536 (or 389073032533 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 101548061482761 in words is "one hundred one trillion, five hundred forty-eight billion, sixty-one million, four hundred eighty-two thousand, seven hundred sixty-one".