10201111122101 has 2 divisors, whose sum is σ = 10201111122102. Its totient is φ = 10201111122100.

The previous prime is 10201111122061. The next prime is 10201111122109. The reversal of 10201111122101 is 10122111110201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9753135246001 + 447975876100 = 3123001^2 + 669310^2 .

It is an emirp because it is prime and its reverse (10122111110201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10201111122101 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10201111122109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100555561050 + 5100555561051.

It is an arithmetic number, because the mean of its divisors is an integer number (5100555561051).

Almost surely, 2^{10201111122101} is an apocalyptic number.

It is an amenable number.

10201111122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201111122101 is an equidigital number, since it uses as much as digits as its factorization.

10201111122101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10201111122101 its reverse (10122111110201), we get a palindrome (20323222232302).

The spelling of 10201111122101 in words is "ten trillion, two hundred one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred one".