111101106101 has 2 divisors, whose sum is σ = 111101106102. Its totient is φ = 111101106100.

The previous prime is 111101106097. The next prime is 111101106107. The reversal of 111101106101 is 101601101111.

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., 75850668100 + 35250438001 = 275410^2 + 187751^2 .

It is a cyclic number.

It is not a de Polignac number, because 111101106101 - 2² = 111101106097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111101106107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550553050 + 55550553051.

It is an arithmetic number, because the mean of its divisors is an integer number (55550553051).

Almost surely, 2^111101106101 is an apocalyptic number.

It is an amenable number.

111101106101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101106101 is an equidigital number, since it uses as much as digits as its factorization.

111101106101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 111101106101 its reverse (101601101111), we get a palindrome (212702207212).

The spelling of 111101106101 in words is "one hundred eleven billion, one hundred one million, one hundred six thousand, one hundred one".