211101102010021 has 2 divisors, whose sum is σ = 211101102010022. Its totient is φ = 211101102010020.

The previous prime is 211101102009979. The next prime is 211101102010037. The reversal of 211101102010021 is 120010201101112.

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., 136039238379396 + 75061863630625 = 11663586^2 + 8663825^2 .

It is a cyclic number.

It is not a de Polignac number, because 211101102010021 - 2¹¹ = 211101102007973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211101102009983 and 211101102010010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211101102010121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105550551005010 + 105550551005011.

It is an arithmetic number, because the mean of its divisors is an integer number (105550551005011).

Almost surely, 2^{211101102010021} is an apocalyptic number.

It is an amenable number.

211101102010021 is a deficient number, since it is larger than the sum of its proper divisors (1).

211101102010021 is an equidigital number, since it uses as much as digits as its factorization.

211101102010021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211101102010021 its reverse (120010201101112), we get a palindrome (331111303111133).

The spelling of 211101102010021 in words is "two hundred eleven trillion, one hundred one billion, one hundred two million, ten thousand, twenty-one".