101000001 has 4 divisors (see below), whose sum is σ = 134666672. Its totient is φ = 67333332.

The previous prime is 100999993. The next prime is 101000023. The reversal of 101000001 is 100000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 101000001 - 2³ = 100999993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (3), and also a Moran number because the ratio is a prime number: 33666667 = 101000001 / (1 + 0 + 1 + 0 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000001.

It is not an unprimeable number, because it can be changed into a prime (101000051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16833331 + ... + 16833336.

It is an arithmetic number, because the mean of its divisors is an integer number (33666668).

Almost surely, 2^101000001 is an apocalyptic number.

It is an amenable number.

101000001 is a deficient number, since it is larger than the sum of its proper divisors (33666671).

101000001 is an equidigital number, since it uses as much as digits as its factorization.

101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666670.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 101000001 is about 10049.8756708727. The cubic root of 101000001 is about 465.7009523174.

Adding to 101000001 its reverse (100000101), we get a palindrome (201000102).

The spelling of 101000001 in words is "one hundred one million, one", and thus it is an aban number.