20101000001077 has 2 divisors, whose sum is σ = 20101000001078. Its totient is φ = 20101000001076.

The previous prime is 20101000000999. The next prime is 20101000001087. The reversal of 20101000001077 is 77010000010102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14298880080996 + 5802119920081 = 3781386^2 + 2408759^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20101000001077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101000001087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050500000538 + 10050500000539.

It is an arithmetic number, because the mean of its divisors is an integer number (10050500000539).

Almost surely, 2^{20101000001077} is an apocalyptic number.

It is an amenable number.

20101000001077 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101000001077 is an equidigital number, since it uses as much as digits as its factorization.

20101000001077 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 19.

Adding to 20101000001077 its reverse (77010000010102), we get a palindrome (97111000011179).

The spelling of 20101000001077 in words is "twenty trillion, one hundred one billion, one thousand, seventy-seven".