101977 has 2 divisors, whose sum is σ = 101978. Its totient is φ = 101976.

The previous prime is 101963. The next prime is 101987. The reversal of 101977 is 779101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68121 + 33856 = 261^2 + 184^2 .

It is an emirp because it is prime and its reverse (779101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101977 - 2¹¹ = 99929 is a prime.

It is not a weakly prime, because it can be changed into another prime (101917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50988 + 50989.

It is an arithmetic number, because the mean of its divisors is an integer number (50989).

2¹⁰¹⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

101977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101977 is an equidigital number, since it uses as much as digits as its factorization.

101977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 25.

The square root of 101977 is about 319.3383785266. The cubic root of 101977 is about 46.7197751385.

The spelling of 101977 in words is "one hundred one thousand, nine hundred seventy-seven".