2100000133177 has 2 divisors, whose sum is σ = 2100000133178. Its totient is φ = 2100000133176.

The previous prime is 2100000133129. The next prime is 2100000133207. The reversal of 2100000133177 is 7713310000012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1224838012176 + 875162121001 = 1106724^2 + 935501^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100000133177 is a prime.

It is a super-2 number, since 2×2100000133177² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2100000133877) 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, 1050000066588 + 1050000066589.

It is an arithmetic number, because the mean of its divisors is an integer number (1050000066589).

Almost surely, 2^{2100000133177} is an apocalyptic number.

It is an amenable number.

2100000133177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100000133177 is an equidigital number, since it uses as much as digits as its factorization.

2100000133177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 25.

Adding to 2100000133177 its reverse (7713310000012), we get a palindrome (9813310133189).

The spelling of 2100000133177 in words is "two trillion, one hundred billion, one hundred thirty-three thousand, one hundred seventy-seven".