101072977 has 2 divisors, whose sum is σ = 101072978. Its totient is φ = 101072976.

The previous prime is 101072969. The next prime is 101072981. The reversal of 101072977 is 779270101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73205136 + 27867841 = 8556^2 + 5279^2 .

It is an emirp because it is prime and its reverse (779270101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101072977 - 2³ = 101072969 is a prime.

It is not a weakly prime, because it can be changed into another prime (101072957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50536488 + 50536489.

It is an arithmetic number, because the mean of its divisors is an integer number (50536489).

Almost surely, 2^101072977 is an apocalyptic number.

It is an amenable number.

101072977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101072977 is an equidigital number, since it uses as much as digits as its factorization.

101072977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6174, while the sum is 34.

The square root of 101072977 is about 10053.5057069661. The cubic root of 101072977 is about 465.8130870056.

The spelling of 101072977 in words is "one hundred one million, seventy-two thousand, nine hundred seventy-seven".