21211202100041 has 2 divisors, whose sum is σ = 21211202100042. Its totient is φ = 21211202100040.

The previous prime is 21211202099999. The next prime is 21211202100083. The reversal of 21211202100041 is 14000120211212.

It is a balanced prime because it is at equal distance from previous prime (21211202099999) and next prime (21211202100083).

It can be written as a sum of positive squares in only one way, i.e., 19345737827641 + 1865464272400 = 4398379^2 + 1365820^2 .

It is a cyclic number.

It is not a de Polignac number, because 21211202100041 - 2¹⁸ = 21211201837897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21211202099992 and 21211202100019.

It is not a weakly prime, because it can be changed into another prime (21211202100241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10605601050020 + 10605601050021.

It is an arithmetic number, because the mean of its divisors is an integer number (10605601050021).

Almost surely, 2^{21211202100041} is an apocalyptic number.

It is an amenable number.

21211202100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

21211202100041 is an equidigital number, since it uses as much as digits as its factorization.

21211202100041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21211202100041 its reverse (14000120211212), we get a palindrome (35211322311253).

The spelling of 21211202100041 in words is "twenty-one trillion, two hundred eleven billion, two hundred two million, one hundred thousand, forty-one".