107077111107221 has 2 divisors, whose sum is σ = 107077111107222. Its totient is φ = 107077111107220.

The previous prime is 107077111107209. The next prime is 107077111107233. The reversal of 107077111107221 is 122701111770701.

It is a balanced prime because it is at equal distance from previous prime (107077111107209) and next prime (107077111107233).

It can be written as a sum of positive squares in only one way, i.e., 106984475488900 + 92635618321 = 10343330^2 + 304361^2 .

It is a cyclic number.

It is not a de Polignac number, because 107077111107221 - 2³⁸ = 106802233200277 is a prime.

It is a super-3 number, since 3×107077111107221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107077111107721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53538555553610 + 53538555553611.

It is an arithmetic number, because the mean of its divisors is an integer number (53538555553611).

Almost surely, 2^{107077111107221} is an apocalyptic number.

It is an amenable number.

107077111107221 is a deficient number, since it is larger than the sum of its proper divisors (1).

107077111107221 is an equidigital number, since it uses as much as digits as its factorization.

107077111107221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9604, while the sum is 38.

Adding to 107077111107221 its reverse (122701111770701), we get a palindrome (229778222877922).

The spelling of 107077111107221 in words is "one hundred seven trillion, seventy-seven billion, one hundred eleven million, one hundred seven thousand, two hundred twenty-one".