100121022161 has 2 divisors, whose sum is σ = 100121022162. Its totient is φ = 100121022160.

The previous prime is 100121022007. The next prime is 100121022163. The reversal of 100121022161 is 161220121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63041668561 + 37079353600 = 251081^2 + 192560^2 .

It is an emirp because it is prime and its reverse (161220121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100121022161 - 2¹⁸ = 100120760017 is a prime.

Together with 100121022163, 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 (100121022163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060511080 + 50060511081.

It is an arithmetic number, because the mean of its divisors is an integer number (50060511081).

Almost surely, 2^100121022161 is an apocalyptic number.

It is an amenable number.

100121022161 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121022161 is an equidigital number, since it uses as much as digits as its factorization.

100121022161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100121022161 its reverse (161220121001), we get a palindrome (261341143162).

The spelling of 100121022161 in words is "one hundred billion, one hundred twenty-one million, twenty-two thousand, one hundred sixty-one".