10010122002001 has 16 divisors (see below), whose sum is σ = 11074358579328. Its totient is φ = 8971599414400.

The previous prime is 10010122001993. The next prime is 10010122002007. The reversal of 10010122002001 is 10020022101001.

It is a cyclic number.

It is not a de Polignac number, because 10010122002001 - 2³ = 10010122001993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010122002007) 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 15 ways as a sum of consecutive naturals, for example, 21573621 + ... + 22032733.

It is an arithmetic number, because the mean of its divisors is an integer number (692147411208).

Almost surely, 2^{10010122002001} is an apocalyptic number.

10010122002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010122002001 is a deficient number, since it is larger than the sum of its proper divisors (1064236577327).

10010122002001 is a wasteful number, since it uses less digits than its factorization.

10010122002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487112.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010122002001 its reverse (10020022101001), we get a palindrome (20030144103002).

The spelling of 10010122002001 in words is "ten trillion, ten billion, one hundred twenty-two million, two thousand, one".