111000111012101 has 2 divisors, whose sum is σ = 111000111012102. Its totient is φ = 111000111012100.

The previous prime is 111000111012073. The next prime is 111000111012113. The reversal of 111000111012101 is 101210111000111.

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., 105427182915076 + 5572928097025 = 10267774^2 + 2360705^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000111012101 - 2¹⁰ = 111000111011077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111000111012121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500055506050 + 55500055506051.

It is an arithmetic number, because the mean of its divisors is an integer number (55500055506051).

Almost surely, 2^{111000111012101} is an apocalyptic number.

It is an amenable number.

111000111012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000111012101 is an equidigital number, since it uses as much as digits as its factorization.

111000111012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 111000111012101 its reverse (101210111000111), we get a palindrome (212210222012212).

The spelling of 111000111012101 in words is "one hundred eleven trillion, one hundred eleven million, twelve thousand, one hundred one".