10100101001077 has 2 divisors, whose sum is σ = 10100101001078. Its totient is φ = 10100101001076.

The previous prime is 10100101001057. The next prime is 10100101001171. The reversal of 10100101001077 is 77010010100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8950861256401 + 1149239744676 = 2991799^2 + 1072026^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100101001077 - 2⁴³ = 1304007978869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100101001057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050050500538 + 5050050500539.

It is an arithmetic number, because the mean of its divisors is an integer number (5050050500539).

Almost surely, 2^{10100101001077} is an apocalyptic number.

It is an amenable number.

10100101001077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100101001077 is an equidigital number, since it uses as much as digits as its factorization.

10100101001077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 49, while the sum is 19.

Adding to 10100101001077 its reverse (77010010100101), we get a palindrome (87110111101178).

The spelling of 10100101001077 in words is "ten trillion, one hundred billion, one hundred one million, one thousand, seventy-seven".