100122212012201 has 2 divisors, whose sum is σ = 100122212012202. Its totient is φ = 100122212012200.

The previous prime is 100122212012131. The next prime is 100122212012203. The reversal of 100122212012201 is 102210212221001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61685944321600 + 38436267690601 = 7854040^2 + 6199699^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122212012201 - 2¹⁰ = 100122212011177 is a prime.

It is a super-2 number, since 2×100122212012201² (a number of 29 digits) contains 22 as substring.

Together with 100122212012203, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100122212012201.

It is not a weakly prime, because it can be changed into another prime (100122212012203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061106006100 + 50061106006101.

It is an arithmetic number, because the mean of its divisors is an integer number (50061106006101).

Almost surely, 2^{100122212012201} is an apocalyptic number.

It is an amenable number.

100122212012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122212012201 is an equidigital number, since it uses as much as digits as its factorization.

100122212012201 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 17.

Adding to 100122212012201 its reverse (102210212221001), we get a palindrome (202332424233202).

The spelling of 100122212012201 in words is "one hundred trillion, one hundred twenty-two billion, two hundred twelve million, twelve thousand, two hundred one".