101010001040101 has 2 divisors, whose sum is σ = 101010001040102. Its totient is φ = 101010001040100.

The previous prime is 101010001040093. The next prime is 101010001040149. The reversal of 101010001040101 is 101040100010101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88847100663876 + 12162900376225 = 9425874^2 + 3487535^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010001040101 - 2³ = 101010001040093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010001044101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000520050 + 50505000520051.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000520051).

Almost surely, 2^{101010001040101} is an apocalyptic number.

It is an amenable number.

101010001040101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010001040101 is an equidigital number, since it uses as much as digits as its factorization.

101010001040101 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 101010001040101 its reverse (101040100010101), we get a palindrome (202050101050202).

The spelling of 101010001040101 in words is "one hundred one trillion, ten billion, one million, forty thousand, one hundred one".