100122000201193 has 2 divisors, whose sum is σ = 100122000201194. Its totient is φ = 100122000201192.

The previous prime is 100122000201191. The next prime is 100122000201323. The reversal of 100122000201193 is 391102000221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86234847657984 + 13887152543209 = 9286272^2 + 3726547^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122000201193 - 2¹ = 100122000201191 is a prime.

It is a super-2 number, since 2×100122000201193² (a number of 29 digits) contains 22 as substring.

Together with 100122000201191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100122000201191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061000100596 + 50061000100597.

It is an arithmetic number, because the mean of its divisors is an integer number (50061000100597).

Almost surely, 2^{100122000201193} is an apocalyptic number.

It is an amenable number.

100122000201193 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122000201193 is an equidigital number, since it uses as much as digits as its factorization.

100122000201193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 100122000201193 its reverse (391102000221001), we get a palindrome (491224000422194).

The spelling of 100122000201193 in words is "one hundred trillion, one hundred twenty-two billion, two hundred one thousand, one hundred ninety-three".