10201200111101 has 2 divisors, whose sum is σ = 10201200111102. Its totient is φ = 10201200111100.

The previous prime is 10201200111097. The next prime is 10201200111103. The reversal of 10201200111101 is 10111100210201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9288773967001 + 912426144100 = 3047749^2 + 955210^2 .

It is an emirp because it is prime and its reverse (10111100210201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10201200111101 - 2² = 10201200111097 is a prime.

Together with 10201200111103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201200111103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100600055550 + 5100600055551.

It is an arithmetic number, because the mean of its divisors is an integer number (5100600055551).

Almost surely, 2^{10201200111101} is an apocalyptic number.

It is an amenable number.

10201200111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201200111101 is an equidigital number, since it uses as much as digits as its factorization.

10201200111101 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 11.

Adding to 10201200111101 its reverse (10111100210201), we get a palindrome (20312300321302).

The spelling of 10201200111101 in words is "ten trillion, two hundred one billion, two hundred million, one hundred eleven thousand, one hundred one".