2021020100041 has 2 divisors, whose sum is σ = 2021020100042. Its totient is φ = 2021020100040.

The previous prime is 2021020100009. The next prime is 2021020100119. The reversal of 2021020100041 is 1400010201202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1234598765625 + 786421334416 = 1111125^2 + 886804^2 .

It is a cyclic number.

It is not a de Polignac number, because 2021020100041 - 2⁵ = 2021020100009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2021020099994 and 2021020100030.

It is not a weakly prime, because it can be changed into another prime (2021020100641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1010510050020 + 1010510050021.

It is an arithmetic number, because the mean of its divisors is an integer number (1010510050021).

Almost surely, 2^{2021020100041} is an apocalyptic number.

It is an amenable number.

2021020100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2021020100041 is an equidigital number, since it uses as much as digits as its factorization.

2021020100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2021020100041 its reverse (1400010201202), we get a palindrome (3421030301243).

The spelling of 2021020100041 in words is "two trillion, twenty-one billion, twenty million, one hundred thousand, forty-one".