10101000102077 has 2 divisors, whose sum is σ = 10101000102078. Its totient is φ = 10101000102076.

The previous prime is 10101000102019. The next prime is 10101000102103. The reversal of 10101000102077 is 77020100010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9742757152921 + 358242949156 = 3121339^2 + 598534^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101000102077 - 2⁸ = 10101000101821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101000102007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050500051038 + 5050500051039.

It is an arithmetic number, because the mean of its divisors is an integer number (5050500051039).

Almost surely, 2^{10101000102077} is an apocalyptic number.

It is an amenable number.

10101000102077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101000102077 is an equidigital number, since it uses as much as digits as its factorization.

10101000102077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98, while the sum is 20.

Adding to 10101000102077 its reverse (77020100010101), we get a palindrome (87121100112178).

The spelling of 10101000102077 in words is "ten trillion, one hundred one billion, one hundred two thousand, seventy-seven".