345531424050101 has 2 divisors, whose sum is σ = 345531424050102. Its totient is φ = 345531424050100.

The previous prime is 345531424050097. The next prime is 345531424050103. The reversal of 345531424050101 is 101050424135543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334821415111876 + 10710008938225 = 18298126^2 + 3272615^2 .

It is a cyclic number.

It is not a de Polignac number, because 345531424050101 - 2² = 345531424050097 is a prime.

It is a super-2 number, since 2×345531424050101² (a number of 30 digits) contains 22 as substring.

Together with 345531424050103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (345531424050103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172765712025050 + 172765712025051.

It is an arithmetic number, because the mean of its divisors is an integer number (172765712025051).

Almost surely, 2^{345531424050101} is an apocalyptic number.

It is an amenable number.

345531424050101 is a deficient number, since it is larger than the sum of its proper divisors (1).

345531424050101 is an equidigital number, since it uses as much as digits as its factorization.

345531424050101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144000, while the sum is 38.

Adding to 345531424050101 its reverse (101050424135543), we get a palindrome (446581848185644).

The spelling of 345531424050101 in words is "three hundred forty-five trillion, five hundred thirty-one billion, four hundred twenty-four million, fifty thousand, one hundred one".