2101102021 has 2 divisors, whose sum is σ = 2101102022. Its totient is φ = 2101102020.

The previous prime is 2101102013. The next prime is 2101102037. The reversal of 2101102021 is 1202011012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1685513025 + 415588996 = 41055^2 + 20386^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101102021 - 2³ = 2101102013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2101101989 and 2101102007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101102051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050551010 + 1050551011.

It is an arithmetic number, because the mean of its divisors is an integer number (1050551011).

Almost surely, 2^2101102021 is an apocalyptic number.

It is an amenable number.

2101102021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101102021 is an equidigital number, since it uses as much as digits as its factorization.

2101102021 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 10.

The square root of 2101102021 is about 45837.7794073840. The cubic root of 2101102021 is about 1280.8031298045.

Adding to 2101102021 its reverse (1202011012), we get a palindrome (3303113033).

The spelling of 2101102021 in words is "two billion, one hundred one million, one hundred two thousand, twenty-one".