100111011000001 has 2 divisors, whose sum is σ = 100111011000002. Its totient is φ = 100111011000000.

The previous prime is 100111010999981. The next prime is 100111011000043. The reversal of 100111011000001 is 100000110111001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66787222799025 + 33323788200976 = 8172345^2 + 5772676^2 .

It is a cyclic number.

It is not a de Polignac number, because 100111011000001 - 2³⁵ = 100076651261633 is a prime.

It is not a weakly prime, because it can be changed into another prime (100111011003001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055505500000 + 50055505500001.

It is an arithmetic number, because the mean of its divisors is an integer number (50055505500001).

Almost surely, 2^{100111011000001} is an apocalyptic number.

It is an amenable number.

100111011000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111011000001 is an equidigital number, since it uses as much as digits as its factorization.

100111011000001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111011000001 its reverse (100000110111001), we get a palindrome (200111121111002).

The spelling of 100111011000001 in words is "one hundred trillion, one hundred eleven billion, eleven million, one", and thus it is an aban number.