100111200001081 has 2 divisors, whose sum is σ = 100111200001082. Its totient is φ = 100111200001080.

The previous prime is 100111200001013. The next prime is 100111200001151. The reversal of 100111200001081 is 180100002111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90133757454400 + 9977442546681 = 9493880^2 + 3158709^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111200001081 - 2¹³ = 100111199992889 is a prime.

It is a super-2 number, since 2×100111200001081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100111200031081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055600000540 + 50055600000541.

It is an arithmetic number, because the mean of its divisors is an integer number (50055600000541).

Almost surely, 2^{100111200001081} is an apocalyptic number.

It is an amenable number.

100111200001081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111200001081 is an equidigital number, since it uses as much as digits as its factorization.

100111200001081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 100111200001081 its reverse (180100002111001), we get a palindrome (280211202112082).

The spelling of 100111200001081 in words is "one hundred trillion, one hundred eleven billion, two hundred million, one thousand, eighty-one".