100107701 has 2 divisors, whose sum is σ = 100107702. Its totient is φ = 100107700.

The previous prime is 100107673. The next prime is 100107703. The reversal of 100107701 is 107701001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89283601 + 10824100 = 9449^2 + 3290^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100107701 is a prime.

It is a super-3 number, since 3×100107701³ (a number of 25 digits) contains 333 as substring.

Together with 100107703, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100107701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100107703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053850 + 50053851.

It is an arithmetic number, because the mean of its divisors is an integer number (50053851).

Almost surely, 2^100107701 is an apocalyptic number.

It is an amenable number.

100107701 is a deficient number, since it is larger than the sum of its proper divisors (1).

100107701 is an equidigital number, since it uses as much as digits as its factorization.

100107701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 17.

The square root of 100107701 is about 10005.3836008421. The cubic root of 100107701 is about 464.3254581610.

Adding to 100107701 its reverse (107701001), we get a palindrome (207808702).

The spelling of 100107701 in words is "one hundred million, one hundred seven thousand, seven hundred one".