101100110999077 has 2 divisors, whose sum is σ = 101100110999078. Its totient is φ = 101100110999076.

The previous prime is 101100110999051. The next prime is 101100110999101. The reversal of 101100110999077 is 770999011001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93643574195521 + 7456536803556 = 9676961^2 + 2730666^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100110999077 - 2¹¹ = 101100110997029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100110999677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550055499538 + 50550055499539.

It is an arithmetic number, because the mean of its divisors is an integer number (50550055499539).

Almost surely, 2^{101100110999077} is an apocalyptic number.

It is an amenable number.

101100110999077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100110999077 is an equidigital number, since it uses as much as digits as its factorization.

101100110999077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35721, while the sum is 46.

The spelling of 101100110999077 in words is "one hundred one trillion, one hundred billion, one hundred ten million, nine hundred ninety-nine thousand, seventy-seven".