2101205174977 has 2 divisors, whose sum is σ = 2101205174978. Its totient is φ = 2101205174976.

The previous prime is 2101205174923. The next prime is 2101205175011. The reversal of 2101205174977 is 7794715021012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2016127369216 + 85077805761 = 1419904^2 + 291681^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101205174977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101205174177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050602587488 + 1050602587489.

It is an arithmetic number, because the mean of its divisors is an integer number (1050602587489).

Almost surely, 2^{2101205174977} is an apocalyptic number.

It is an amenable number.

2101205174977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101205174977 is an equidigital number, since it uses as much as digits as its factorization.

2101205174977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 246960, while the sum is 46.

The spelling of 2101205174977 in words is "two trillion, one hundred one billion, two hundred five million, one hundred seventy-four thousand, nine hundred seventy-seven".