10122122010001 has 8 divisors (see below), whose sum is σ = 10137767730624. Its totient is φ = 10106481727440.

The previous prime is 10122122009999. The next prime is 10122122010019. The reversal of 10122122010001 is 10001022122101.

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

It is a cyclic number.

It is not a de Polignac number, because 10122122010001 - 2¹ = 10122122009999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122122710001) 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, 2373970 + ... + 5087236.

It is an arithmetic number, because the mean of its divisors is an integer number (1267220966328).

Almost surely, 2^{10122122010001} is an apocalyptic number.

It is an amenable number.

10122122010001 is a deficient number, since it is larger than the sum of its proper divisors (15645720623).

10122122010001 is an equidigital number, since it uses as much as digits as its factorization.

10122122010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719031.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122122010001 its reverse (10001022122101), we get a palindrome (20123144132102).

The spelling of 10122122010001 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, ten thousand, one".