100072565941 has 2 divisors, whose sum is σ = 100072565942. Its totient is φ = 100072565940.

The previous prime is 100072565933. The next prime is 100072566029. The reversal of 100072565941 is 149565270001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79719263716 + 20353302225 = 282346^2 + 142665^2 .

It is a cyclic number.

It is not a de Polignac number, because 100072565941 - 2³ = 100072565933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100072565894 and 100072565903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100072565911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50036282970 + 50036282971.

It is an arithmetic number, because the mean of its divisors is an integer number (50036282971).

Almost surely, 2^100072565941 is an apocalyptic number.

It is an amenable number.

100072565941 is a deficient number, since it is larger than the sum of its proper divisors (1).

100072565941 is an equidigital number, since it uses as much as digits as its factorization.

100072565941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 100072565941 in words is "one hundred billion, seventy-two million, five hundred sixty-five thousand, nine hundred forty-one".