111111000101 has 2 divisors, whose sum is σ = 111111000102. Its totient is φ = 111111000100.

The previous prime is 111111000061. The next prime is 111111000109. The reversal of 111111000101 is 101000111111.

It is an a-pointer prime, because the next prime (111111000109) can be obtained adding 111111000101 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., 110058062500 + 1052937601 = 331750^2 + 32449^2 .

It is a cyclic number.

It is not a de Polignac number, because 111111000101 - 2¹⁴ = 111110983717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111111000109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55555500050 + 55555500051.

It is an arithmetic number, because the mean of its divisors is an integer number (55555500051).

Almost surely, 2^111111000101 is an apocalyptic number.

It is an amenable number.

111111000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111111000101 is an equidigital number, since it uses as much as digits as its factorization.

111111000101 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 8.

Adding to 111111000101 its reverse (101000111111), we get a palindrome (212111111212).

The spelling of 111111000101 in words is "one hundred eleven billion, one hundred eleven million, one hundred one", and thus it is an aban number.