101111903974841 has 2 divisors, whose sum is σ = 101111903974842. Its totient is φ = 101111903974840.

The previous prime is 101111903974813. The next prime is 101111903974891. The reversal of 101111903974841 is 148479309111101.

It is an a-pointer prime, because the next prime (101111903974891) can be obtained adding 101111903974841 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98650503831616 + 2461400143225 = 9932296^2 + 1568885^2 .

It is an emirp because it is prime and its reverse (148479309111101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101111903974841 - 2⁴² = 96713857463737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101111903974841.

It is not a weakly prime, because it can be changed into another prime (101111903974801) 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, 50555951987420 + 50555951987421.

It is an arithmetic number, because the mean of its divisors is an integer number (50555951987421).

Almost surely, 2^{101111903974841} is an apocalyptic number.

It is an amenable number.

101111903974841 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111903974841 is an equidigital number, since it uses as much as digits as its factorization.

101111903974841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 50.

The spelling of 101111903974841 in words is "one hundred one trillion, one hundred eleven billion, nine hundred three million, nine hundred seventy-four thousand, eight hundred forty-one".