101109999998977 has 2 divisors, whose sum is σ = 101109999998978. Its totient is φ = 101109999998976.

The previous prime is 101109999998963. The next prime is 101109999998993. The reversal of 101109999998977 is 779899999901101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84028773891841 + 17081226107136 = 9166721^2 + 4132944^2 .

It is an emirp because it is prime and its reverse (779899999901101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101109999998977 is a prime.

It is not a weakly prime, because it can be changed into another prime (101109999998957) 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, 50554999999488 + 50554999999489.

It is an arithmetic number, because the mean of its divisors is an integer number (50554999999489).

Almost surely, 2^{101109999998977} is an apocalyptic number.

It is an amenable number.

101109999998977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101109999998977 is an equidigital number, since it uses as much as digits as its factorization.

101109999998977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1874923848, while the sum is 88.

The spelling of 101109999998977 in words is "one hundred one trillion, one hundred nine billion, nine hundred ninety-nine million, nine hundred ninety-eight thousand, nine hundred seventy-seven".