34514214101 has 2 divisors, whose sum is σ = 34514214102. Its totient is φ = 34514214100.

The previous prime is 34514214067. The next prime is 34514214109. The reversal of 34514214101 is 10141241543.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34511979076 + 2235025 = 185774^2 + 1495^2 .

It is an emirp because it is prime and its reverse (10141241543) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34514214101 - 2⁶ = 34514214037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34514214109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17257107050 + 17257107051.

It is an arithmetic number, because the mean of its divisors is an integer number (17257107051).

Almost surely, 2^34514214101 is an apocalyptic number.

It is an amenable number.

34514214101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34514214101 is an equidigital number, since it uses as much as digits as its factorization.

34514214101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 34514214101 its reverse (10141241543), we get a palindrome (44655455644).

The spelling of 34514214101 in words is "thirty-four billion, five hundred fourteen million, two hundred fourteen thousand, one hundred one".