83121558562121 has 16 divisors (see below), whose sum is σ = 86205822650640. Its totient is φ = 80093632926720.

The previous prime is 83121558562109. The next prime is 83121558562153. The reversal of 83121558562121 is 12126585512138.

It can be written as a sum of positive squares in 8 ways, for example, as 252671096896 + 82868887465225 = 502664^2 + 9103235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-83121558562121 is a prime.

It is a super-2 number, since 2×83121558562121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 83121558562121.

It is not an unprimeable number, because it can be changed into a prime (83121558562181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36452366 + ... + 38665463.

It is an arithmetic number, because the mean of its divisors is an integer number (5387863915665).

Almost surely, 2^{83121558562121} is an apocalyptic number.

It is an amenable number.

83121558562121 is a deficient number, since it is larger than the sum of its proper divisors (3084264088519).

83121558562121 is a wasteful number, since it uses less digits than its factorization.

83121558562121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75118204.

The product of its digits is 1152000, while the sum is 50.

The spelling of 83121558562121 in words is "eighty-three trillion, one hundred twenty-one billion, five hundred fifty-eight million, five hundred sixty-two thousand, one hundred twenty-one".