2100099977 has 2 divisors, whose sum is σ = 2100099978. Its totient is φ = 2100099976.

The previous prime is 2100099961. The next prime is 2100099979. The reversal of 2100099977 is 7799900012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1786668361 + 313431616 = 42269^2 + 17704^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100099977 - 2⁴ = 2100099961 is a prime.

Together with 2100099979, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2100099979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050049988 + 1050049989.

It is an arithmetic number, because the mean of its divisors is an integer number (1050049989).

Almost surely, 2^2100099977 is an apocalyptic number.

It is an amenable number.

2100099977 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100099977 is an equidigital number, since it uses as much as digits as its factorization.

2100099977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 71442, while the sum is 44.

The square root of 2100099977 is about 45826.8477750761. The cubic root of 2100099977 is about 1280.5994866433.

Adding to 2100099977 its reverse (7799900012), we get a palindrome (9899999989).

The spelling of 2100099977 in words is "two billion, one hundred million, ninety-nine thousand, nine hundred seventy-seven".