102213002009977 has 2 divisors, whose sum is σ = 102213002009978. Its totient is φ = 102213002009976.

The previous prime is 102213002009843. The next prime is 102213002010001. The reversal of 102213002009977 is 779900200312201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72108697155856 + 30104304854121 = 8491684^2 + 5486739^2 .

It is an emirp because it is prime and its reverse (779900200312201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102213002009977 is a prime.

It is not a weakly prime, because it can be changed into another prime (102213002009477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106501004988 + 51106501004989.

It is an arithmetic number, because the mean of its divisors is an integer number (51106501004989).

Almost surely, 2^{102213002009977} is an apocalyptic number.

It is an amenable number.

102213002009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213002009977 is an equidigital number, since it uses as much as digits as its factorization.

102213002009977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 95256, while the sum is 43.

The spelling of 102213002009977 in words is "one hundred two trillion, two hundred thirteen billion, two million, nine thousand, nine hundred seventy-seven".