10002300322122 has 80 divisors (see below), whose sum is σ = 22991972467464. Its totient is φ = 3248138880000.

The previous prime is 10002300322117. The next prime is 10002300322171. The reversal of 10002300322122 is 22122300320001.

10002300322122 is a `hidden beast` number, since 100 + 0 + 230 + 0 + 322 + 12 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9724424796801 + 277875525321 = 3118401^2 + 527139^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10002300322095 and 10002300322104.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3581922 + ... + 5730162.

Almost surely, 2^{10002300322122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002300322122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495986233732).

10002300322122 is an abundant number, since it is smaller than the sum of its proper divisors (12989672145342).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002300322122 is a wasteful number, since it uses less digits than its factorization.

10002300322122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148997 (or 2148988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10002300322122 its reverse (22122300320001), we get a palindrome (32124600642123).

The spelling of 10002300322122 in words is "ten trillion, two billion, three hundred million, three hundred twenty-two thousand, one hundred twenty-two".