10007101 has 8 divisors (see below), whose sum is σ = 11411064. Its totient is φ = 8693760.

The previous prime is 10007087. The next prime is 10007143. The reversal of 10007101 is 10170001.

10007101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2722500 + 7284601 = 1650^2 + 2699^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10007101 - 2⁷ = 10006973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10007161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22420 + ... + 22861.

It is an arithmetic number, because the mean of its divisors is an integer number (1426383).

Almost surely, 2^10007101 is an apocalyptic number.

It is an amenable number.

10007101 is a deficient number, since it is larger than the sum of its proper divisors (1403963).

10007101 is a wasteful number, since it uses less digits than its factorization.

10007101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45311.

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

The square root of 10007101 is about 3163.4002276032. The cubic root of 10007101 is about 215.4944524064.

Adding to 10007101 its reverse (10170001), we get a palindrome (20177102).

The spelling of 10007101 in words is "ten million, seven thousand, one hundred one".