1101010008977 has 2 divisors, whose sum is σ = 1101010008978. Its totient is φ = 1101010008976.

The previous prime is 1101010008907. The next prime is 1101010008983. The reversal of 1101010008977 is 7798000101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 966965422336 + 134044586641 = 983344^2 + 366121^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101010008977 - 2¹⁶ = 1101009943441 is a prime.

It is not a weakly prime, because it can be changed into another prime (1101010008907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550505004488 + 550505004489.

It is an arithmetic number, because the mean of its divisors is an integer number (550505004489).

Almost surely, 2^{1101010008977} is an apocalyptic number.

It is an amenable number.

1101010008977 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101010008977 is an equidigital number, since it uses as much as digits as its factorization.

1101010008977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 35.

Adding to 1101010008977 its reverse (7798000101011), we get a palindrome (8899010109988).

The spelling of 1101010008977 in words is "one trillion, one hundred one billion, ten million, eight thousand, nine hundred seventy-seven".