4101111134321 has 2 divisors, whose sum is σ = 4101111134322. Its totient is φ = 4101111134320.

The previous prime is 4101111134291. The next prime is 4101111134347. The reversal of 4101111134321 is 1234311111014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4100523750625 + 587383696 = 2024975^2 + 24236^2 .

It is a cyclic number.

It is not a de Polignac number, because 4101111134321 - 2⁶ = 4101111134257 is a prime.

It is a super-2 number, since 2×4101111134321² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4101111134821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050555567160 + 2050555567161.

It is an arithmetic number, because the mean of its divisors is an integer number (2050555567161).

Almost surely, 2^{4101111134321} is an apocalyptic number.

It is an amenable number.

4101111134321 is a deficient number, since it is larger than the sum of its proper divisors (1).

4101111134321 is an equidigital number, since it uses as much as digits as its factorization.

4101111134321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 4101111134321 its reverse (1234311111014), we get a palindrome (5335422245335).

The spelling of 4101111134321 in words is "four trillion, one hundred one billion, one hundred eleven million, one hundred thirty-four thousand, three hundred twenty-one".