125523431214101 has 2 divisors, whose sum is σ = 125523431214102. Its totient is φ = 125523431214100.

The previous prime is 125523431214073. The next prime is 125523431214127. The reversal of 125523431214101 is 101412134325521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109064060503876 + 16459370710225 = 10443374^2 + 4057015^2 .

It is a cyclic number.

It is not a de Polignac number, because 125523431214101 - 2¹⁸ = 125523430951957 is a prime.

It is a super-2 number, since 2×125523431214101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (125523431214151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62761715607050 + 62761715607051.

It is an arithmetic number, because the mean of its divisors is an integer number (62761715607051).

Almost surely, 2^{125523431214101} is an apocalyptic number.

It is an amenable number.

125523431214101 is a deficient number, since it is larger than the sum of its proper divisors (1).

125523431214101 is an equidigital number, since it uses as much as digits as its factorization.

125523431214101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 125523431214101 its reverse (101412134325521), we get a palindrome (226935565539622).

The spelling of 125523431214101 in words is "one hundred twenty-five trillion, five hundred twenty-three billion, four hundred thirty-one million, two hundred fourteen thousand, one hundred one".