2102100022021 has 2 divisors, whose sum is σ = 2102100022022. Its totient is φ = 2102100022020.

The previous prime is 2102100021991. The next prime is 2102100022037. The reversal of 2102100022021 is 1202200012012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2036939801796 + 65160220225 = 1427214^2 + 255265^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102100022021 - 2²⁹ = 2101563151109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2102100021992 and 2102100022010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102100062021) 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, 1051050011010 + 1051050011011.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050011011).

Almost surely, 2^{2102100022021} is an apocalyptic number.

It is an amenable number.

2102100022021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102100022021 is an equidigital number, since it uses as much as digits as its factorization.

2102100022021 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 2102100022021 its reverse (1202200012012), we get a palindrome (3304300034033).

The spelling of 2102100022021 in words is "two trillion, one hundred two billion, one hundred million, twenty-two thousand, twenty-one".