10100001111077 has 2 divisors, whose sum is σ = 10100001111078. Its totient is φ = 10100001111076.

The previous prime is 10100001111073. The next prime is 10100001111133. The reversal of 10100001111077 is 77011110000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9394752187396 + 705248923681 = 3065086^2 + 839791^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001111077 - 2² = 10100001111073 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100001111073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000555538 + 5050000555539.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000555539).

Almost surely, 2^{10100001111077} is an apocalyptic number.

It is an amenable number.

10100001111077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001111077 is an equidigital number, since it uses as much as digits as its factorization.

10100001111077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 20.

Adding to 10100001111077 its reverse (77011110000101), we get a palindrome (87111111111178).

The spelling of 10100001111077 in words is "ten trillion, one hundred billion, one million, one hundred eleven thousand, seventy-seven".