10101101010977 has 2 divisors, whose sum is σ = 10101101010978. Its totient is φ = 10101101010976.

The previous prime is 10101101010943. The next prime is 10101101011049. The reversal of 10101101010977 is 77901010110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5519793131776 + 4581307879201 = 2349424^2 + 2140399^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101101010977 - 2⁴² = 5703054499873 is a prime.

It is not a weakly prime, because it can be changed into another prime (10101101310977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050550505488 + 5050550505489.

It is an arithmetic number, because the mean of its divisors is an integer number (5050550505489).

Almost surely, 2^{10101101010977} is an apocalyptic number.

It is an amenable number.

10101101010977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101101010977 is an equidigital number, since it uses as much as digits as its factorization.

10101101010977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 441, while the sum is 29.

The spelling of 10101101010977 in words is "ten trillion, one hundred one billion, one hundred one million, ten thousand, nine hundred seventy-seven".