101101019977 has 2 divisors, whose sum is σ = 101101019978. Its totient is φ = 101101019976.

The previous prime is 101101019939. The next prime is 101101020011. The reversal of 101101019977 is 779910101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78954818121 + 22146201856 = 280989^2 + 148816^2 .

It is an emirp because it is prime and its reverse (779910101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101101019977 - 2³⁵ = 66741281609 is a prime.

It is not a weakly prime, because it can be changed into another prime (101101019927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550509988 + 50550509989.

It is an arithmetic number, because the mean of its divisors is an integer number (50550509989).

Almost surely, 2^101101019977 is an apocalyptic number.

It is an amenable number.

101101019977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101019977 is an equidigital number, since it uses as much as digits as its factorization.

101101019977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 37.

The spelling of 101101019977 in words is "one hundred one billion, one hundred one million, nineteen thousand, nine hundred seventy-seven".