102014100821 has 2 divisors, whose sum is σ = 102014100822. Its totient is φ = 102014100820.

The previous prime is 102014100809. The next prime is 102014100827. The reversal of 102014100821 is 128001410201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79509900625 + 22504200196 = 281975^2 + 150014^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102014100821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102014100793 and 102014100802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102014100827) 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, 51007050410 + 51007050411.

It is an arithmetic number, because the mean of its divisors is an integer number (51007050411).

Almost surely, 2^102014100821 is an apocalyptic number.

It is an amenable number.

102014100821 is a deficient number, since it is larger than the sum of its proper divisors (1).

102014100821 is an equidigital number, since it uses as much as digits as its factorization.

102014100821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 102014100821 in words is "one hundred two billion, fourteen million, one hundred thousand, eight hundred twenty-one".