101300101 has 6 divisors (see below), whose sum is σ = 117838950. Its totient is φ = 86828616.

The previous prime is 101300083. The next prime is 101300123. The reversal of 101300101 is 101003101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69388900 + 31911201 = 8330^2 + 5649^2 .

It is not a de Polignac number, because 101300101 - 2²⁵ = 67745669 is a prime.

It is a super-2 number, since 2×101300101² = 20523420925220402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101300141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1033626 + ... + 1033723.

It is an arithmetic number, because the mean of its divisors is an integer number (19639825).

Almost surely, 2^101300101 is an apocalyptic number.

It is an amenable number.

101300101 is a deficient number, since it is larger than the sum of its proper divisors (16538849).

101300101 is an equidigital number, since it uses as much as digits as its factorization.

101300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067363 (or 2067356 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 101300101 is about 10064.7951295593. The cubic root of 101300101 is about 466.1617399847.

Adding to 101300101 its reverse (101003101), we get a palindrome (202303202).

The spelling of 101300101 in words is "one hundred one million, three hundred thousand, one hundred one".