10101100004977 has 2 divisors, whose sum is σ = 10101100004978. Its totient is φ = 10101100004976.

The previous prime is 10101100004971. The next prime is 10101100004981. The reversal of 10101100004977 is 77940000110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6174424855921 + 3926675149056 = 2484839^2 + 1981584^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100004977 - 2¹⁵ = 10101099972209 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101100004971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550002488 + 5050550002489.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550002489).

Almost surely, 2^{10101100004977} is an apocalyptic number.

It is an amenable number.

10101100004977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101100004977 is an equidigital number, since it uses as much as digits as its factorization.

10101100004977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 31.

The spelling of 10101100004977 in words is "ten trillion, one hundred one billion, one hundred million, four thousand, nine hundred seventy-seven".