102112001021 has 2 divisors, whose sum is σ = 102112001022. Its totient is φ = 102112001020.

The previous prime is 102112000997. The next prime is 102112001023. The reversal of 102112001021 is 120100211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87092272996 + 15019728025 = 295114^2 + 122555^2 .

It is an emirp because it is prime and its reverse (120100211201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102112001021 - 2¹⁸ = 102111738877 is a prime.

Together with 102112001023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102112000993 and 102112001011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102112001023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51056000510 + 51056000511.

It is an arithmetic number, because the mean of its divisors is an integer number (51056000511).

Almost surely, 2^102112001021 is an apocalyptic number.

It is an amenable number.

102112001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

102112001021 is an equidigital number, since it uses as much as digits as its factorization.

102112001021 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 102112001021 its reverse (120100211201), we get a palindrome (222212212222).

The spelling of 102112001021 in words is "one hundred two billion, one hundred twelve million, one thousand, twenty-one".