101105101 has 2 divisors, whose sum is σ = 101105102. Its totient is φ = 101105100.

The previous prime is 101105089. The next prime is 101105113. The reversal of 101105101 is 101501101.

It is a balanced prime because it is at equal distance from previous prime (101105089) and next prime (101105113).

It can be written as a sum of positive squares in only one way, i.e., 87422500 + 13682601 = 9350^2 + 3699^2 .

It is a cyclic number.

It is not a de Polignac number, because 101105101 - 2¹⁵ = 101072333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101105161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50552550 + 50552551.

It is an arithmetic number, because the mean of its divisors is an integer number (50552551).

Almost surely, 2^101105101 is an apocalyptic number.

It is an amenable number.

101105101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101105101 is an equidigital number, since it uses as much as digits as its factorization.

101105101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5, while the sum is 10.

The square root of 101105101 is about 10055.1032316929. The cubic root of 101105101 is about 465.8624315321.

Adding to 101105101 its reverse (101501101), we get a palindrome (202606202).

The spelling of 101105101 in words is "one hundred one million, one hundred five thousand, one hundred one".