10011000201121 has 2 divisors, whose sum is σ = 10011000201122. Its totient is φ = 10011000201120.

The previous prime is 10011000201119. The next prime is 10011000201131. The reversal of 10011000201121 is 12110200011001.

It is an a-pointer prime, because the next prime (10011000201131) can be obtained adding 10011000201121 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9992325612096 + 18674589025 = 3161064^2 + 136655^2 .

It is an emirp because it is prime and its reverse (12110200011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011000201121 - 2¹ = 10011000201119 is a prime.

Together with 10011000201119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10011000201098 and 10011000201107.

It is not a weakly prime, because it can be changed into another prime (10011000201131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005500100560 + 5005500100561.

It is an arithmetic number, because the mean of its divisors is an integer number (5005500100561).

Almost surely, 2^{10011000201121} is an apocalyptic number.

It is an amenable number.

10011000201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011000201121 is an equidigital number, since it uses as much as digits as its factorization.

10011000201121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011000201121 its reverse (12110200011001), we get a palindrome (22121200212122).

The spelling of 10011000201121 in words is "ten trillion, eleven billion, two hundred one thousand, one hundred twenty-one".