10010122111001 has 8 divisors (see below), whose sum is σ = 10333825580544. Its totient is φ = 9686468410560.

The previous prime is 10010122110997. The next prime is 10010122111013. The reversal of 10010122111001 is 10011122101001.

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 10010122111001 - 2² = 10010122110997 is a prime.

It is a super-2 number, since 2×10010122111001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010122111601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12033296 + ... + 12838241.

It is an arithmetic number, because the mean of its divisors is an integer number (1291728197568).

Almost surely, 2^{10010122111001} is an apocalyptic number.

It is an amenable number.

10010122111001 is a deficient number, since it is larger than the sum of its proper divisors (323703469543).

10010122111001 is a wasteful number, since it uses less digits than its factorization.

10010122111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24884551.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10010122111001 its reverse (10011122101001), we get a palindrome (20021244212002).

The spelling of 10010122111001 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred eleven thousand, one".