100122020222101 has 2 divisors, whose sum is σ = 100122020222102. Its totient is φ = 100122020222100.

The previous prime is 100122020222099. The next prime is 100122020222137. The reversal of 100122020222101 is 101222020221001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57777405311025 + 42344614911076 = 7601145^2 + 6507274^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122020222101 - 2¹ = 100122020222099 is a prime.

Together with 100122020222099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122020222171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061010111050 + 50061010111051.

It is an arithmetic number, because the mean of its divisors is an integer number (50061010111051).

Almost surely, 2^{100122020222101} is an apocalyptic number.

It is an amenable number.

100122020222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122020222101 is an equidigital number, since it uses as much as digits as its factorization.

100122020222101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100122020222101 its reverse (101222020221001), we get a palindrome (201344040443102).

The spelling of 100122020222101 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, two hundred twenty-two thousand, one hundred one".