111110100010001 has 2 divisors, whose sum is σ = 111110100010002. Its totient is φ = 111110100010000.

The previous prime is 111110100009983. The next prime is 111110100010009. The reversal of 111110100010001 is 100010001011111.

It is an a-pointer prime, because the next prime (111110100010009) can be obtained adding 111110100010001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64960359920401 + 46149740089600 = 8059799^2 + 6793360^2 .

It is a cyclic number.

It is not a de Polignac number, because 111110100010001 - 2¹⁴ = 111110099993617 is a prime.

It is not a weakly prime, because it can be changed into another prime (111110100010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555050005000 + 55555050005001.

It is an arithmetic number, because the mean of its divisors is an integer number (55555050005001).

Almost surely, 2^{111110100010001} is an apocalyptic number.

It is an amenable number.

111110100010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111110100010001 is an equidigital number, since it uses as much as digits as its factorization.

111110100010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111110100010001 its reverse (100010001011111), we get a palindrome (211120101021112).

The spelling of 111110100010001 in words is "one hundred eleven trillion, one hundred ten billion, one hundred million, ten thousand, one".