101405661361 has 16 divisors (see below), whose sum is σ = 103806489600. Its totient is φ = 99015329728.

The previous prime is 101405661307. The next prime is 101405661373. The reversal of 101405661361 is 163166504101.

It is a cyclic number.

It is not a de Polignac number, because 101405661361 - 2¹⁹ = 101405137073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101405661061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64058376 + ... + 64059958.

It is an arithmetic number, because the mean of its divisors is an integer number (6487905600).

Almost surely, 2^101405661361 is an apocalyptic number.

It is an amenable number.

101405661361 is a deficient number, since it is larger than the sum of its proper divisors (2400828239).

101405661361 is a wasteful number, since it uses less digits than its factorization.

101405661361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968.

The product of its (nonzero) digits is 12960, while the sum is 34.

The spelling of 101405661361 in words is "one hundred one billion, four hundred five million, six hundred sixty-one thousand, three hundred sixty-one".