100312123277 has 2 divisors, whose sum is σ = 100312123278. Its totient is φ = 100312123276.

The previous prime is 100312123133. The next prime is 100312123361. The reversal of 100312123277 is 772321213001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89265903076 + 11046220201 = 298774^2 + 105101^2 .

It is a cyclic number.

It is not a de Polignac number, because 100312123277 - 2¹⁴ = 100312106893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100312123477) 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, 50156061638 + 50156061639.

It is an arithmetic number, because the mean of its divisors is an integer number (50156061639).

Almost surely, 2^100312123277 is an apocalyptic number.

It is an amenable number.

100312123277 is a deficient number, since it is larger than the sum of its proper divisors (1).

100312123277 is an equidigital number, since it uses as much as digits as its factorization.

100312123277 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 29.

Adding to 100312123277 its reverse (772321213001), we get a palindrome (872633336278).

The spelling of 100312123277 in words is "one hundred billion, three hundred twelve million, one hundred twenty-three thousand, two hundred seventy-seven".