100077565541 has 2 divisors, whose sum is σ = 100077565542. Its totient is φ = 100077565540.

The previous prime is 100077565517. The next prime is 100077565543. The reversal of 100077565541 is 145565770001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96687414916 + 3390150625 = 310946^2 + 58225^2 .

It is a cyclic number.

It is not a de Polignac number, because 100077565541 - 2³⁰ = 99003823717 is a prime.

It is a super-2 number, since 2×100077565541² (a number of 23 digits) contains 22 as substring.

Together with 100077565543, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100077565543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50038782770 + 50038782771.

It is an arithmetic number, because the mean of its divisors is an integer number (50038782771).

Almost surely, 2^100077565541 is an apocalyptic number.

It is an amenable number.

100077565541 is a deficient number, since it is larger than the sum of its proper divisors (1).

100077565541 is an equidigital number, since it uses as much as digits as its factorization.

100077565541 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 147000, while the sum is 41.

The spelling of 100077565541 in words is "one hundred billion, seventy-seven million, five hundred sixty-five thousand, five hundred forty-one".