100201617977 has 4 divisors (see below), whose sum is σ = 100202335716. Its totient is φ = 100200900240.

The previous prime is 100201617953. The next prime is 100201618019. The reversal of 100201617977 is 779716102001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 43696049296 + 56505568681 = 209036^2 + 237709^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201617977 - 2³⁶ = 31482141241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100201619977) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74174 + ... + 453767.

It is an arithmetic number, because the mean of its divisors is an integer number (25050583929).

Almost surely, 2^100201617977 is an apocalyptic number.

It is an amenable number.

100201617977 is a deficient number, since it is larger than the sum of its proper divisors (717739).

100201617977 is an equidigital number, since it uses as much as digits as its factorization.

100201617977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717738.

The product of its (nonzero) digits is 37044, while the sum is 41.

Adding to 100201617977 its reverse (779716102001), we get a palindrome (879917719978).

The spelling of 100201617977 in words is "one hundred billion, two hundred one million, six hundred seventeen thousand, nine hundred seventy-seven".