4116557101 has 8 divisors (see below), whose sum is σ = 4169725560. Its totient is φ = 4063607808.

The previous prime is 4116557099. The next prime is 4116557143. The reversal of 4116557101 is 1017556114.

4116557101 is digitally balanced in base 3, 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 156875625 + 3959681476 = 12525^2 + 62926^2 .

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

It is not a de Polignac number, because 4116557101 - 2¹ = 4116557099 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 (4116555101) 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, 16816 + ... + 92281.

It is an arithmetic number, because the mean of its divisors is an integer number (521215695).

Almost surely, 2^4116557101 is an apocalyptic number.

It is an amenable number.

4116557101 is a deficient number, since it is larger than the sum of its proper divisors (53168459).

4116557101 is a wasteful number, since it uses less digits than its factorization.

4116557101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109583.

The product of its (nonzero) digits is 4200, while the sum is 31.

The square root of 4116557101 is about 64160.4013469367. The cubic root of 4116557101 is about 1602.6722403320.

The spelling of 4116557101 in words is "four billion, one hundred sixteen million, five hundred fifty-seven thousand, one hundred one".