101001007 has 4 divisors (see below), whose sum is σ = 104259136. Its totient is φ = 97742880.

The previous prime is 101001001. The next prime is 101001011. The reversal of 101001007 is 700100101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101000984 and 101001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001) 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, 1629018 + ... + 1629079.

It is an arithmetic number, because the mean of its divisors is an integer number (26064784).

Almost surely, 2^101001007 is an apocalyptic number.

101001007 is a deficient number, since it is larger than the sum of its proper divisors (3258129).

101001007 is an equidigital number, since it uses as much as digits as its factorization.

101001007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258128.

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

The square root of 101001007 is about 10049.9257211185. The cubic root of 101001007 is about 465.7024985008.

Adding to 101001007 its reverse (700100101), we get a palindrome (801101108).

The spelling of 101001007 in words is "one hundred one million, one thousand, seven".