101007001 has 4 divisors (see below), whose sum is σ = 101062692. Its totient is φ = 100951312.

The previous prime is 101006999. The next prime is 101007019. The reversal of 101007001 is 100700101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 60047001 + 40960000 = 7749^2 + 6400^2 .

It is a cyclic number.

It is not a de Polignac number, because 101007001 - 2¹ = 101006999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101007031) 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 3 ways as a sum of consecutive naturals, for example, 25030 + ... + 28783.

It is an arithmetic number, because the mean of its divisors is an integer number (25265673).

Almost surely, 2^101007001 is an apocalyptic number.

It is an amenable number.

101007001 is a deficient number, since it is larger than the sum of its proper divisors (55691).

101007001 is an equidigital number, since it uses as much as digits as its factorization.

101007001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55690.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 101007001 is about 10050.2239278535. The cubic root of 101007001 is about 465.7117108366.

Adding to 101007001 its reverse (100700101), we get a palindrome (201707102).

The spelling of 101007001 in words is "one hundred one million, seven thousand, one".