123776101 has 2 divisors, whose sum is σ = 123776102. Its totient is φ = 123776100.

The previous prime is 123776077. The next prime is 123776117. The reversal of 123776101 is 101677321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98525476 + 25250625 = 9926^2 + 5025^2 .

It is a cyclic number.

It is not a de Polignac number, because 123776101 - 2⁵ = 123776069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123776101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123776701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61888050 + 61888051.

It is an arithmetic number, because the mean of its divisors is an integer number (61888051).

Almost surely, 2^123776101 is an apocalyptic number.

It is an amenable number.

123776101 is a deficient number, since it is larger than the sum of its proper divisors (1).

123776101 is an equidigital number, since it uses as much as digits as its factorization.

123776101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 123776101 is about 11125.4708214978. The cubic root of 123776101 is about 498.3627795364.

The spelling of 123776101 in words is "one hundred twenty-three million, seven hundred seventy-six thousand, one hundred one".