102121312049 has 2 divisors, whose sum is σ = 102121312050. Its totient is φ = 102121312048.

The previous prime is 102121312021. The next prime is 102121312061. The reversal of 102121312049 is 940213121201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95646695824 + 6474616225 = 309268^2 + 80465^2 .

It is an emirp because it is prime and its reverse (940213121201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102121312049 - 2²⁰ = 102120263473 is a prime.

It is not a weakly prime, because it can be changed into another prime (102121312079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060656024 + 51060656025.

It is an arithmetic number, because the mean of its divisors is an integer number (51060656025).

Almost surely, 2^102121312049 is an apocalyptic number.

It is an amenable number.

102121312049 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121312049 is an equidigital number, since it uses as much as digits as its factorization.

102121312049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 102121312049 in words is "one hundred two billion, one hundred twenty-one million, three hundred twelve thousand, forty-nine".