101984721977 has 2 divisors, whose sum is σ = 101984721978. Its totient is φ = 101984721976.

The previous prime is 101984721941. The next prime is 101984721991. The reversal of 101984721977 is 779127489101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96035530816 + 5949191161 = 309896^2 + 77131^2 .

It is a cyclic number.

It is not a de Polignac number, because 101984721977 - 2¹⁸ = 101984459833 is a prime.

It is not a weakly prime, because it can be changed into another prime (101984721997) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50992360988 + 50992360989.

It is an arithmetic number, because the mean of its divisors is an integer number (50992360989).

Almost surely, 2^101984721977 is an apocalyptic number.

It is an amenable number.

101984721977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101984721977 is an equidigital number, since it uses as much as digits as its factorization.

101984721977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1778112, while the sum is 56.

The spelling of 101984721977 in words is "one hundred one billion, nine hundred eighty-four million, seven hundred twenty-one thousand, nine hundred seventy-seven".