111001011000001 has 2 divisors, whose sum is σ = 111001011000002. Its totient is φ = 111001011000000.

The previous prime is 111001010999999. The next prime is 111001011000007. The reversal of 111001011000001 is 100000110100111.

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., 85263043972401 + 25737967027600 = 9233799^2 + 5073260^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001011000001 - 2¹ = 111001010999999 is a prime.

Together with 111001010999999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (111001011000007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500505500000 + 55500505500001.

It is an arithmetic number, because the mean of its divisors is an integer number (55500505500001).

Almost surely, 2^{111001011000001} is an apocalyptic number.

It is an amenable number.

111001011000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001011000001 is an equidigital number, since it uses as much as digits as its factorization.

111001011000001 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 111001011000001 its reverse (100000110100111), we get a palindrome (211001121100112).

The spelling of 111001011000001 in words is "one hundred eleven trillion, one billion, eleven million, one", and thus it is an aban number.