101430056561 has 16 divisors (see below), whose sum is σ = 102441749760. Its totient is φ = 100424682000.

The previous prime is 101430056549. The next prime is 101430056591. The reversal of 101430056561 is 165650034101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101430056561 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101430056501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58058690 + ... + 58060436.

It is an arithmetic number, because the mean of its divisors is an integer number (6402609360).

Almost surely, 2^101430056561 is an apocalyptic number.

It is an amenable number.

101430056561 is a deficient number, since it is larger than the sum of its proper divisors (1011693199).

101430056561 is a wasteful number, since it uses less digits than its factorization.

101430056561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244.

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 101430056561 in words is "one hundred one billion, four hundred thirty million, fifty-six thousand, five hundred sixty-one".