4101009677 has 2 divisors, whose sum is σ = 4101009678. Its totient is φ = 4101009676.

The previous prime is 4101009659. The next prime is 4101009697. The reversal of 4101009677 is 7769001014.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2754780196 + 1346229481 = 52486^2 + 36691^2 .

It is a cyclic number.

It is not a de Polignac number, because 4101009677 - 2¹⁴ = 4100993293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4101009607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050504838 + 2050504839.

It is an arithmetic number, because the mean of its divisors is an integer number (2050504839).

Almost surely, 2^4101009677 is an apocalyptic number.

It is an amenable number.

4101009677 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101009677 is an equidigital number, since it uses as much as digits as its factorization.

4101009677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 35.

The square root of 4101009677 is about 64039.1261417581. The cubic root of 4101009677 is about 1600.6520359373.

The spelling of 4101009677 in words is "four billion, one hundred one million, nine thousand, six hundred seventy-seven".