101000965782473 has 2 divisors, whose sum is σ = 101000965782474. Its totient is φ = 101000965782472.

The previous prime is 101000965782467. The next prime is 101000965782553. The reversal of 101000965782473 is 374287569000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74015101859209 + 26985863923264 = 8603203^2 + 5194792^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000965782473 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000965782413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500482891236 + 50500482891237.

It is an arithmetic number, because the mean of its divisors is an integer number (50500482891237).

It is a 1-persistent number, because it is pandigital, but 2⋅101000965782473 = 202001931564946 is not.

Almost surely, 2^{101000965782473} is an apocalyptic number.

It is an amenable number.

101000965782473 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000965782473 is an equidigital number, since it uses as much as digits as its factorization.

101000965782473 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 101000965782473 in words is "one hundred one trillion, nine hundred sixty-five million, seven hundred eighty-two thousand, four hundred seventy-three".