101006101 has 12 divisors (see below), whose sum is σ = 121550220. Its totient is φ = 83590080.

The previous prime is 101006099. The next prime is 101006117. The reversal of 101006101 is 101600101.

It can be written as a sum of positive squares in 2 ways, for example, as 68459076 + 32547025 = 8274^2 + 5705^2 .

It is not a de Polignac number, because 101006101 - 2¹ = 101006099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101006701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34120 + ... + 36961.

It is an arithmetic number, because the mean of its divisors is an integer number (10129185).

Almost surely, 2^101006101 is an apocalyptic number.

It is an amenable number.

101006101 is a deficient number, since it is larger than the sum of its proper divisors (20544119).

101006101 is an equidigital number, since it uses as much as digits as its factorization.

101006101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71124 (or 71117 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 101006101 is about 10050.1791526321. The cubic root of 101006101 is about 465.7103276262.

Adding to 101006101 its reverse (101600101), we get a palindrome (202606202).

The spelling of 101006101 in words is "one hundred one million, six thousand, one hundred one".