102202303121113 has 8 divisors (see below), whose sum is σ = 110064484877256. Its totient is φ = 94340187955200.

The previous prime is 102202303121077. The next prime is 102202303121153. The reversal of 102202303121113 is 311121303202201.

It can be written as a sum of positive squares in 4 ways, for example, as 3879848091289 + 98322455029824 = 1969733^2 + 9915768^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102202303121113 is a prime.

It is a super-2 number, since 2×102202303121113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102202303121153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13436968 + ... + 19620313.

It is an arithmetic number, because the mean of its divisors is an integer number (13758060609657).

Almost surely, 2^{102202303121113} is an apocalyptic number.

102202303121113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102202303121113 is a deficient number, since it is larger than the sum of its proper divisors (7862181756143).

102202303121113 is a wasteful number, since it uses less digits than its factorization.

102202303121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33295115.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 102202303121113 its reverse (311121303202201), we get a palindrome (413323606323314).

The spelling of 102202303121113 in words is "one hundred two trillion, two hundred two billion, three hundred three million, one hundred twenty-one thousand, one hundred thirteen".