10010011109977 has 2 divisors, whose sum is σ = 10010011109978. Its totient is φ = 10010011109976.

The previous prime is 10010011109957. The next prime is 10010011109993. The reversal of 10010011109977 is 77990111001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7726237311321 + 2283773798656 = 2779611^2 + 1511216^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010011109977 - 2¹⁹ = 10010010585689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010011109957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005005554988 + 5005005554989.

It is an arithmetic number, because the mean of its divisors is an integer number (5005005554989).

Almost surely, 2^{10010011109977} is an apocalyptic number.

It is an amenable number.

10010011109977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010011109977 is an equidigital number, since it uses as much as digits as its factorization.

10010011109977 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 37.

The spelling of 10010011109977 in words is "ten trillion, ten billion, eleven million, one hundred nine thousand, nine hundred seventy-seven".