111001000110901 has 2 divisors, whose sum is σ = 111001000110902. Its totient is φ = 111001000110900.

The previous prime is 111001000110899. The next prime is 111001000111003. The reversal of 111001000110901 is 109011000100111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110104098302500 + 896901808401 = 10493050^2 + 947049^2 .

It is a cyclic number.

It is not a de Polignac number, because 111001000110901 - 2¹ = 111001000110899 is a prime.

Together with 111001000110899, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111001000110401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500500055450 + 55500500055451.

It is an arithmetic number, because the mean of its divisors is an integer number (55500500055451).

Almost surely, 2^{111001000110901} is an apocalyptic number.

It is an amenable number.

111001000110901 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001000110901 is an equidigital number, since it uses as much as digits as its factorization.

111001000110901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 16.

The spelling of 111001000110901 in words is "one hundred eleven trillion, one billion, one hundred ten thousand, nine hundred one".