102200102201077 has 2 divisors, whose sum is σ = 102200102201078. Its totient is φ = 102200102201076.

The previous prime is 102200102201063. The next prime is 102200102201089. The reversal of 102200102201077 is 770102201002201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93334322018961 + 8865780182116 = 9660969^2 + 2977546^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200102201077 - 2¹⁵ = 102200102168309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102200108201077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100051100538 + 51100051100539.

It is an arithmetic number, because the mean of its divisors is an integer number (51100051100539).

Almost surely, 2^{102200102201077} is an apocalyptic number.

It is an amenable number.

102200102201077 is a deficient number, since it is larger than the sum of its proper divisors (1).

102200102201077 is an equidigital number, since it uses as much as digits as its factorization.

102200102201077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 784, while the sum is 25.

Adding to 102200102201077 its reverse (770102201002201), we get a palindrome (872302303203278).

The spelling of 102200102201077 in words is "one hundred two trillion, two hundred billion, one hundred two million, two hundred one thousand, seventy-seven".