101021121200201 has 2 divisors, whose sum is σ = 101021121200202. Its totient is φ = 101021121200200.

The previous prime is 101021121200191. The next prime is 101021121200203. The reversal of 101021121200201 is 102002121120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78984527880976 + 22036593319225 = 8887324^2 + 4694315^2 .

It is an emirp because it is prime and its reverse (102002121120101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101021121200201 - 2⁶ = 101021121200137 is a prime.

Together with 101021121200203, 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 (101021121200203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510560600100 + 50510560600101.

It is an arithmetic number, because the mean of its divisors is an integer number (50510560600101).

Almost surely, 2^{101021121200201} is an apocalyptic number.

It is an amenable number.

101021121200201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021121200201 is an equidigital number, since it uses as much as digits as its factorization.

101021121200201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101021121200201 its reverse (102002121120101), we get a palindrome (203023242320302).

The spelling of 101021121200201 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-one million, two hundred thousand, two hundred one".