101010100010441 has 2 divisors, whose sum is σ = 101010100010442. Its totient is φ = 101010100010440.

The previous prime is 101010100010381. The next prime is 101010100010471. The reversal of 101010100010441 is 144010001010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52387775443600 + 48622324566841 = 7237940^2 + 6972971^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010100010441 - 2²² = 101010095816137 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010100010471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505050005220 + 50505050005221.

It is an arithmetic number, because the mean of its divisors is an integer number (50505050005221).

Almost surely, 2^{101010100010441} is an apocalyptic number.

It is an amenable number.

101010100010441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010100010441 is an equidigital number, since it uses as much as digits as its factorization.

101010100010441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101010100010441 its reverse (144010001010101), we get a palindrome (245020101020542).

The spelling of 101010100010441 in words is "one hundred one trillion, ten billion, one hundred million, ten thousand, four hundred forty-one".