102101022102077 has 2 divisors, whose sum is σ = 102101022102078. Its totient is φ = 102101022102076.

The previous prime is 102101022101993. The next prime is 102101022102083. The reversal of 102101022102077 is 770201220101201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85763694635161 + 16337327466916 = 9260869^2 + 4041946^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102101022102077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102101022102577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050511051038 + 51050511051039.

It is an arithmetic number, because the mean of its divisors is an integer number (51050511051039).

Almost surely, 2^{102101022102077} is an apocalyptic number.

It is an amenable number.

102101022102077 is a deficient number, since it is larger than the sum of its proper divisors (1).

102101022102077 is an equidigital number, since it uses as much as digits as its factorization.

102101022102077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 784, while the sum is 26.

Adding to 102101022102077 its reverse (770201220101201), we get a palindrome (872302242203278).

The spelling of 102101022102077 in words is "one hundred two trillion, one hundred one billion, twenty-two million, one hundred two thousand, seventy-seven".