101052977 has 2 divisors, whose sum is σ = 101052978. Its totient is φ = 101052976.

The previous prime is 101052949. The next prime is 101052979. The reversal of 101052977 is 779250101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60590656 + 40462321 = 7784^2 + 6361^2 .

It is a cyclic number.

It is not a de Polignac number, because 101052977 - 2¹⁰ = 101051953 is a prime.

Together with 101052979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (101052979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50526488 + 50526489.

It is an arithmetic number, because the mean of its divisors is an integer number (50526489).

Almost surely, 2^101052977 is an apocalyptic number.

It is an amenable number.

101052977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101052977 is an equidigital number, since it uses as much as digits as its factorization.

101052977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 101052977 is about 10052.5109798498. The cubic root of 101052977 is about 465.7823604402.

The spelling of 101052977 in words is "one hundred one million, fifty-two thousand, nine hundred seventy-seven".