107065810202121 has 27 divisors (see below), whose sum is σ = 156087377110119. Its totient is φ = 70720135033392.

The previous prime is 107065810202119. The next prime is 107065810202149. The reversal of 107065810202121 is 121202018560701.

It is a happy number.

The square root of 107065810202121 is 10347261.

It is a perfect power (a square), and thus also a powerful number.

107065810202121 is a `hidden beast` number, since 1 + 0 + 70 + 6 + 581 + 0 + 2 + 0 + 2 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74624356054521 + 32441454147600 = 8638539^2 + 5695740^2 .

It is not a de Polignac number, because 107065810202121 - 2¹ = 107065810202119 is a prime.

It is a super-2 number, since 2×107065810202121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107065810202171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3383538526 + ... + 3383570168.

Almost surely, 2^{107065810202121} is an apocalyptic number.

107065810202121 is the 10347261-st square number.

107065810202121 is the 5173631-st centered octagonal number.

It is an amenable number.

107065810202121 is a deficient number, since it is larger than the sum of its proper divisors (49021566907998).

107065810202121 is an frugal number, since it uses more digits than its factorization.

107065810202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63510 (or 31755 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 107065810202121 its reverse (121202018560701), we get a palindrome (228267828762822).

The spelling of 107065810202121 in words is "one hundred seven trillion, sixty-five billion, eight hundred ten million, two hundred two thousand, one hundred twenty-one".