101661641041 has 8 divisors (see below), whose sum is σ = 105189633000. Its totient is φ = 98135143680.

The previous prime is 101661641023. The next prime is 101661641047. The reversal of 101661641041 is 140146166101.

It can be written as a sum of positive squares in 4 ways, for example, as 43522304400 + 58139336641 = 208620^2 + 241121^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101661641041 - 2³⁵ = 67301902673 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101661640994 and 101661641012.

It is not an unprimeable number, because it can be changed into a prime (101661641047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234366 + ... + 508183.

It is an arithmetic number, because the mean of its divisors is an integer number (13148704125).

Almost surely, 2^101661641041 is an apocalyptic number.

It is an amenable number.

101661641041 is a deficient number, since it is larger than the sum of its proper divisors (3527991959).

101661641041 is an equidigital number, since it uses as much as digits as its factorization.

101661641041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747299.

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 101661641041 in words is "one hundred one billion, six hundred sixty-one million, six hundred forty-one thousand, forty-one".