101110110009977 has 2 divisors, whose sum is σ = 101110110009978. Its totient is φ = 101110110009976.

The previous prime is 101110110009971. The next prime is 101110110010043. The reversal of 101110110009977 is 779900011011101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97725304843321 + 3384805166656 = 9885611^2 + 1839784^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110110009977 - 2⁸ = 101110110009721 is a prime.

It is a super-2 number, since 2×101110110009977² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101110110009977.

It is not a weakly prime, because it can be changed into another prime (101110110009971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555055004988 + 50555055004989.

It is an arithmetic number, because the mean of its divisors is an integer number (50555055004989).

Almost surely, 2^{101110110009977} is an apocalyptic number.

It is an amenable number.

101110110009977 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110110009977 is an equidigital number, since it uses as much as digits as its factorization.

101110110009977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 38.

The spelling of 101110110009977 in words is "one hundred one trillion, one hundred ten billion, one hundred ten million, nine thousand, nine hundred seventy-seven".