100210211021 has 2 divisors, whose sum is σ = 100210211022. Its totient is φ = 100210211020.

The previous prime is 100210211011. The next prime is 100210211089. The reversal of 100210211021 is 120112012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84994988521 + 15215222500 = 291539^2 + 123350^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100210211021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210210993 and 100210211011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100210211011) 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, 50105105510 + 50105105511.

It is an arithmetic number, because the mean of its divisors is an integer number (50105105511).

Almost surely, 2^100210211021 is an apocalyptic number.

It is an amenable number.

100210211021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100210211021 is an equidigital number, since it uses as much as digits as its factorization.

100210211021 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 11.

Adding to 100210211021 its reverse (120112012001), we get a palindrome (220322223022).

The spelling of 100210211021 in words is "one hundred billion, two hundred ten million, two hundred eleven thousand, twenty-one".