10002122122001 has 16 divisors (see below), whose sum is σ = 10190381859840. Its totient is φ = 9815928526800.

The previous prime is 10002122121913. The next prime is 10002122122021. The reversal of 10002122122001 is 10022122120001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002122122001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002122122021) 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, 5749286 + ... + 7284128.

It is an arithmetic number, because the mean of its divisors is an integer number (636898866240).

Almost surely, 2^{10002122122001} is an apocalyptic number.

It is an amenable number.

10002122122001 is a deficient number, since it is larger than the sum of its proper divisors (188259737839).

10002122122001 is a wasteful number, since it uses less digits than its factorization.

10002122122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535516.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10002122122001 its reverse (10022122120001), we get a palindrome (20024244242002).

It can be divided in two parts, 1000212 and 2122001, that added together give a palindrome (3122213).

The spelling of 10002122122001 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, one".