111000100100101 has 2 divisors, whose sum is σ = 111000100100102. Its totient is φ = 111000100100100.

The previous prime is 111000100100093. The next prime is 111000100100107. The reversal of 111000100100101 is 101001001000111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103656813077601 + 7343287022500 = 10181199^2 + 2709850^2 .

It is an emirp because it is prime and its reverse (101001001000111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111000100100101 - 2³ = 111000100100093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111000100100107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500050050050 + 55500050050051.

It is an arithmetic number, because the mean of its divisors is an integer number (55500050050051).

Almost surely, 2^{111000100100101} is an apocalyptic number.

It is an amenable number.

111000100100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000100100101 is an equidigital number, since it uses as much as digits as its factorization.

111000100100101 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 111000100100101 its reverse (101001001000111), we get a palindrome (212001101100212).

The spelling of 111000100100101 in words is "one hundred eleven trillion, one hundred million, one hundred thousand, one hundred one".