10100001007 has 4 divisors (see below), whose sum is σ = 10265574856. Its totient is φ = 9934427160.

The previous prime is 10100001001. The next prime is 10100001059. The reversal of 10100001007 is 70010000101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 70010000101 = 179 ⋅391117319.

It is a cyclic number.

It is not a de Polignac number, because 10100001007 - 2¹¹ = 10099998959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100000984 and 10100001002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100001001) 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, 82786833 + ... + 82786954.

It is an arithmetic number, because the mean of its divisors is an integer number (2566393714).

Almost surely, 2^10100001007 is an apocalyptic number.

10100001007 is a deficient number, since it is larger than the sum of its proper divisors (165573849).

10100001007 is an equidigital number, since it uses as much as digits as its factorization.

10100001007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165573848.

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

Adding to 10100001007 its reverse (70010000101), we get a palindrome (80110001108).

The spelling of 10100001007 in words is "ten billion, one hundred million, one thousand, seven".