2100122200177 has 2 divisors, whose sum is σ = 2100122200178. Its totient is φ = 2100122200176.

The previous prime is 2100122200157. The next prime is 2100122200193. The reversal of 2100122200177 is 7710022210012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1294079155776 + 806043044401 = 1137576^2 + 897799^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100122200177 - 2¹⁹ = 2100121675889 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100122200157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050061100088 + 1050061100089.

It is an arithmetic number, because the mean of its divisors is an integer number (1050061100089).

Almost surely, 2^{2100122200177} is an apocalyptic number.

It is an amenable number.

2100122200177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100122200177 is an equidigital number, since it uses as much as digits as its factorization.

2100122200177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 784, while the sum is 25.

Adding to 2100122200177 its reverse (7710022210012), we get a palindrome (9810144410189).

The spelling of 2100122200177 in words is "two trillion, one hundred billion, one hundred twenty-two million, two hundred thousand, one hundred seventy-seven".