201012101000101 has 2 divisors, whose sum is σ = 201012101000102. Its totient is φ = 201012101000100.

The previous prime is 201012101000071. The next prime is 201012101000131. The reversal of 201012101000101 is 101000101210102.

201012101000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (201012101000071) and next prime (201012101000131).

It can be written as a sum of positive squares in only one way, i.e., 133198951204225 + 67813149795876 = 11541185^2 + 8234874^2 .

It is a cyclic number.

It is not a de Polignac number, because 201012101000101 - 2²⁵ = 201012067445669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201012101000131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100506050500050 + 100506050500051.

It is an arithmetic number, because the mean of its divisors is an integer number (100506050500051).

Almost surely, 2^{201012101000101} is an apocalyptic number.

It is an amenable number.

201012101000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

201012101000101 is an equidigital number, since it uses as much as digits as its factorization.

201012101000101 is an evil number, because the sum of its binary digits is even.

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

Adding to 201012101000101 its reverse (101000101210102), we get a palindrome (302012202210203).

The spelling of 201012101000101 in words is "two hundred one trillion, twelve billion, one hundred one million, one hundred one", and thus it is an aban number.