201101120000101 has 2 divisors, whose sum is σ = 201101120000102. Its totient is φ = 201101120000100.

The previous prime is 201101120000083. The next prime is 201101120000117. The reversal of 201101120000101 is 101000021101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168929547344100 + 32171572656001 = 12997290^2 + 5671999^2 .

It is a cyclic number.

It is not a de Polignac number, because 201101120000101 - 2³⁷ = 200963681046629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201101120000171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100550560000050 + 100550560000051.

It is an arithmetic number, because the mean of its divisors is an integer number (100550560000051).

Almost surely, 2^{201101120000101} is an apocalyptic number.

It is an amenable number.

201101120000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201101120000101 is an equidigital number, since it uses as much as digits as its factorization.

201101120000101 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 201101120000101 its reverse (101000021101102), we get a palindrome (302101141101203).

The spelling of 201101120000101 in words is "two hundred one trillion, one hundred one billion, one hundred twenty million, one hundred one", and thus it is an aban number.