101060101 has 2 divisors, whose sum is σ = 101060102. Its totient is φ = 101060100.

The previous prime is 101060077. The next prime is 101060111.

101060101 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (101060111) can be obtained adding 101060101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95062500 + 5997601 = 9750^2 + 2449^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 101060101 - 2¹¹ = 101058053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101060111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50530050 + 50530051.

It is an arithmetic number, because the mean of its divisors is an integer number (50530051).

Almost surely, 2^101060101 is an apocalyptic number.

It is an amenable number.

101060101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101060101 is an equidigital number, since it uses as much as digits as its factorization.

101060101 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 10.

The square root of 101060101 is about 10052.8653129344. The cubic root of 101060101 is about 465.7933057076.

The spelling of 101060101 in words is "one hundred one million, sixty thousand, one hundred one".