100266795941761 has 2 divisors, whose sum is σ = 100266795941762. Its totient is φ = 100266795941760.

The previous prime is 100266795941729. The next prime is 100266795941831. The reversal of 100266795941761 is 167149597662001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90259500250000 + 10007295691761 = 9500500^2 + 3163431^2 .

It is a cyclic number.

It is not a de Polignac number, because 100266795941761 - 2⁵ = 100266795941729 is a prime.

It is a super-2 number, since 2×100266795941761² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100266795941693 and 100266795941702.

It is not a weakly prime, because it can be changed into another prime (100266795041761) 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 as a sum of consecutive naturals, namely, 50133397970880 + 50133397970881.

It is an arithmetic number, because the mean of its divisors is an integer number (50133397970881).

Almost surely, 2^{100266795941761} is an apocalyptic number.

It is an amenable number.

100266795941761 is a deficient number, since it is larger than the sum of its proper divisors (1).

100266795941761 is an equidigital number, since it uses as much as digits as its factorization.

100266795941761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34292160, while the sum is 64.

The spelling of 100266795941761 in words is "one hundred trillion, two hundred sixty-six billion, seven hundred ninety-five million, nine hundred forty-one thousand, seven hundred sixty-one".