10101007 has 12 divisors (see below), whose sum is σ = 11804016. Its totient is φ = 8643600.

The previous prime is 10100999. The next prime is 10101023. The reversal of 10101007 is 70010101.

It is not a de Polignac number, because 10101007 - 2³ = 10100999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100984 and 10101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16507 + ... + 17107.

It is an arithmetic number, because the mean of its divisors is an integer number (983668).

Almost surely, 2^10101007 is an apocalyptic number.

10101007 is a deficient number, since it is larger than the sum of its proper divisors (1703009).

10101007 is an frugal number, since it uses more digits than its factorization.

10101007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 608 counting only the distinct ones).

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

The square root of 10101007 is about 3178.2081429636. The cubic root of 10101007 is about 216.1664169616.

Adding to 10101007 its reverse (70010101), we get a palindrome (80111108).

The spelling of 10101007 in words is "ten million, one hundred one thousand, seven".