34002201111101 has 2 divisors, whose sum is σ = 34002201111102. Its totient is φ = 34002201111100.

The previous prime is 34002201111077. The next prime is 34002201111119. The reversal of 34002201111101 is 10111110220043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26449317552100 + 7552883559001 = 5142890^2 + 2748251^2 .

It is a cyclic number.

It is not a de Polignac number, because 34002201111101 - 2⁶ = 34002201111037 is a prime.

It is a super-2 number, since 2×34002201111101² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34002201111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34002201111301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17001100555550 + 17001100555551.

It is an arithmetic number, because the mean of its divisors is an integer number (17001100555551).

Almost surely, 2^{34002201111101} is an apocalyptic number.

It is an amenable number.

34002201111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34002201111101 is an equidigital number, since it uses as much as digits as its factorization.

34002201111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 34002201111101 its reverse (10111110220043), we get a palindrome (44113311331144).

The spelling of 34002201111101 in words is "thirty-four trillion, two billion, two hundred one million, one hundred eleven thousand, one hundred one".