110000100101 has 2 divisors, whose sum is σ = 110000100102. Its totient is φ = 110000100100.

The previous prime is 110000100097. The next prime is 110000100103. The reversal of 110000100101 is 101001000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96258165025 + 13741935076 = 310255^2 + 117226^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000100101 - 2² = 110000100097 is a prime.

Together with 110000100103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110000100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000050050 + 55000050051.

It is an arithmetic number, because the mean of its divisors is an integer number (55000050051).

Almost surely, 2^110000100101 is an apocalyptic number.

It is an amenable number.

110000100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000100101 is an equidigital number, since it uses as much as digits as its factorization.

110000100101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 110000100101 its reverse (101001000011), we get a palindrome (211001100112).

The spelling of 110000100101 in words is "one hundred ten billion, one hundred thousand, one hundred one".