125822348101 has 2 divisors, whose sum is σ = 125822348102. Its totient is φ = 125822348100.

The previous prime is 125822348087. The next prime is 125822348137. The reversal of 125822348101 is 101843228521.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119283199876 + 6539148225 = 345374^2 + 80865^2 .

It is an emirp because it is prime and its reverse (101843228521) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 125822348101 - 2²³ = 125813959493 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125822345101) 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, 62911174050 + 62911174051.

It is an arithmetic number, because the mean of its divisors is an integer number (62911174051).

Almost surely, 2^125822348101 is an apocalyptic number.

It is an amenable number.

125822348101 is a deficient number, since it is larger than the sum of its proper divisors (1).

125822348101 is an equidigital number, since it uses as much as digits as its factorization.

125822348101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 125822348101 in words is "one hundred twenty-five billion, eight hundred twenty-two million, three hundred forty-eight thousand, one hundred one".