101111000010941 has 2 divisors, whose sum is σ = 101111000010942. Its totient is φ = 101111000010940.

The previous prime is 101111000010919. The next prime is 101111000011081. The reversal of 101111000010941 is 149010000111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72456765719716 + 28654234291225 = 8512154^2 + 5352965^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111000010941 - 2¹⁰ = 101111000009917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111000019941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555500005470 + 50555500005471.

It is an arithmetic number, because the mean of its divisors is an integer number (50555500005471).

Almost surely, 2^{101111000010941} is an apocalyptic number.

It is an amenable number.

101111000010941 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111000010941 is an equidigital number, since it uses as much as digits as its factorization.

101111000010941 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 101111000010941 in words is "one hundred one trillion, one hundred eleven billion, ten thousand, nine hundred forty-one".