100106109941 has 2 divisors, whose sum is σ = 100106109942. Its totient is φ = 100106109940.

The previous prime is 100106109937. The next prime is 100106109979. The reversal of 100106109941 is 149901601001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91766584900 + 8339525041 = 302930^2 + 91321^2 .

It is an emirp because it is prime and its reverse (149901601001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100106109941 - 2² = 100106109937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100106109898 and 100106109907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100106109911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053054970 + 50053054971.

It is an arithmetic number, because the mean of its divisors is an integer number (50053054971).

Almost surely, 2^100106109941 is an apocalyptic number.

It is an amenable number.

100106109941 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106109941 is an equidigital number, since it uses as much as digits as its factorization.

100106109941 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 100106109941 in words is "one hundred billion, one hundred six million, one hundred nine thousand, nine hundred forty-one".