100121201122177 has 2 divisors, whose sum is σ = 100121201122178. Its totient is φ = 100121201122176.

The previous prime is 100121201122087. The next prime is 100121201122253. The reversal of 100121201122177 is 771221102121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55182894533361 + 44938306588816 = 7428519^2 + 6703604^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100121201122177 is a prime.

It is a super-3 number, since 3×100121201122177³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (100121201722177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060600561088 + 50060600561089.

It is an arithmetic number, because the mean of its divisors is an integer number (50060600561089).

Almost surely, 2^{100121201122177} is an apocalyptic number.

It is an amenable number.

100121201122177 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121201122177 is an equidigital number, since it uses as much as digits as its factorization.

100121201122177 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 28.

Adding to 100121201122177 its reverse (771221102121001), we get a palindrome (871342303243178).

The spelling of 100121201122177 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, one hundred twenty-two thousand, one hundred seventy-seven".