10010122001 has 12 divisors (see below), whose sum is σ = 11050115076. Its totient is φ = 9061029120.

The previous prime is 10010121983. The next prime is 10010122037. The reversal of 10010122001 is 10022101001.

It can be written as a sum of positive squares in 2 ways, for example, as 6056730625 + 3953391376 = 77825^2 + 62876^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10010122001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010122001.

It is not an unprimeable number, because it can be changed into a prime (10010122901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149336 + ... + 205721.

It is an arithmetic number, because the mean of its divisors is an integer number (920842923).

Almost surely, 2^10010122001 is an apocalyptic number.

10010122001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010122001 is a deficient number, since it is larger than the sum of its proper divisors (1039993075).

10010122001 is a wasteful number, since it uses less digits than its factorization.

10010122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355312 (or 355301 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10010122001 its reverse (10022101001), we get a palindrome (20032223002).

It can be divided in two parts, 100 and 10122001, that added together give a palindrome (10122101).

The spelling of 10010122001 in words is "ten billion, ten million, one hundred twenty-two thousand, one".