101111100099941 has 2 divisors, whose sum is σ = 101111100099942. Its totient is φ = 101111100099940.

The previous prime is 101111100099937. The next prime is 101111100100079. The reversal of 101111100099941 is 149990001111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81542164204900 + 19568935895041 = 9030070^2 + 4423679^2 .

It is an emirp because it is prime and its reverse (149990001111101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101111100099941 - 2² = 101111100099937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101111100099895 and 101111100099904.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111100099901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555550049970 + 50555550049971.

It is an arithmetic number, because the mean of its divisors is an integer number (50555550049971).

Almost surely, 2^{101111100099941} is an apocalyptic number.

It is an amenable number.

101111100099941 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111100099941 is an equidigital number, since it uses as much as digits as its factorization.

101111100099941 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 38.

The spelling of 101111100099941 in words is "one hundred one trillion, one hundred eleven billion, one hundred million, ninety-nine thousand, nine hundred forty-one".