101056556601593 has 2 divisors, whose sum is σ = 101056556601594. Its totient is φ = 101056556601592.

The previous prime is 101056556601577. The next prime is 101056556601617. The reversal of 101056556601593 is 395106655650101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96833708329744 + 4222848271849 = 9840412^2 + 2054957^2 .

It is a cyclic number.

It is not a de Polignac number, because 101056556601593 - 2⁴ = 101056556601577 is a prime.

It is not a weakly prime, because it can be changed into another prime (101056556607593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50528278300796 + 50528278300797.

It is an arithmetic number, because the mean of its divisors is an integer number (50528278300797).

Almost surely, 2^{101056556601593} is an apocalyptic number.

It is an amenable number.

101056556601593 is a deficient number, since it is larger than the sum of its proper divisors (1).

101056556601593 is an equidigital number, since it uses as much as digits as its factorization.

101056556601593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3645000, while the sum is 53.

The spelling of 101056556601593 in words is "one hundred one trillion, fifty-six billion, five hundred fifty-six million, six hundred one thousand, five hundred ninety-three".