101010110021077 has 2 divisors, whose sum is σ = 101010110021078. Its totient is φ = 101010110021076.

The previous prime is 101010110020913. The next prime is 101010110021081. The reversal of 101010110021077 is 770120011010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100518149463876 + 491960557201 = 10025874^2 + 701399^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010110021077 - 2³⁹ = 100460354207189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010110021477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505055010538 + 50505055010539.

It is an arithmetic number, because the mean of its divisors is an integer number (50505055010539).

Almost surely, 2^{101010110021077} is an apocalyptic number.

It is an amenable number.

101010110021077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010110021077 is an equidigital number, since it uses as much as digits as its factorization.

101010110021077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98, while the sum is 22.

Adding to 101010110021077 its reverse (770120011010101), we get a palindrome (871130121031178).

The spelling of 101010110021077 in words is "one hundred one trillion, ten billion, one hundred ten million, twenty-one thousand, seventy-seven".