122102102001113 has 12 divisors (see below), whose sum is σ = 132253066727100. Its totient is φ = 112678946055936.

The previous prime is 122102102001097. The next prime is 122102102001193. The reversal of 122102102001113 is 311100201201221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 41304439483609 + 80797662517504 = 6426853^2 + 8988752^2 .

It is not a de Polignac number, because 122102102001113 - 2⁴ = 122102102001097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122102102001091 and 122102102001100.

It is not an unprimeable number, because it can be changed into a prime (122102102001193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97731788 + ... + 98973261.

It is an arithmetic number, because the mean of its divisors is an integer number (11021088893925).

Almost surely, 2^{122102102001113} is an apocalyptic number.

122102102001113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122102102001113 is a deficient number, since it is larger than the sum of its proper divisors (10150964725987).

122102102001113 is a wasteful number, since it uses less digits than its factorization.

122102102001113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196708748 (or 196708735 counting only the distinct ones).

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

Adding to 122102102001113 its reverse (311100201201221), we get a palindrome (433202303202334).

The spelling of 122102102001113 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred two million, one thousand, one hundred thirteen".