100010100977 has 2 divisors, whose sum is σ = 100010100978. Its totient is φ = 100010100976.

The previous prime is 100010100913. The next prime is 100010101027. The reversal of 100010100977 is 779001010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67824305761 + 32185795216 = 260431^2 + 179404^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010100977 - 2⁶ = 100010100913 is a prime.

It is not a weakly prime, because it can be changed into another prime (100010100877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005050488 + 50005050489.

It is an arithmetic number, because the mean of its divisors is an integer number (50005050489).

Almost surely, 2^100010100977 is an apocalyptic number.

It is an amenable number.

100010100977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010100977 is an equidigital number, since it uses as much as digits as its factorization.

100010100977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 26.

Adding to 100010100977 its reverse (779001010001), we get a palindrome (879011110978).

The spelling of 100010100977 in words is "one hundred billion, ten million, one hundred thousand, nine hundred seventy-seven".