10100122001 has 8 divisors (see below), whose sum is σ = 10450033320. Its totient is φ = 9750319488.

The previous prime is 10100121989. The next prime is 10100122007. The reversal of 10100122001 is 10022100101.

It can be written as a sum of positive squares in 4 ways, for example, as 1964262400 + 8135859601 = 44320^2 + 90199^2 .

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 10100122001 - 2¹⁸ = 10099859857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100122001.

It is not an unprimeable number, because it can be changed into a prime (10100122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191615 + ... + 238571.

It is an arithmetic number, because the mean of its divisors is an integer number (1306254165).

Almost surely, 2^10100122001 is an apocalyptic number.

It is an amenable number.

10100122001 is a deficient number, since it is larger than the sum of its proper divisors (349911319).

10100122001 is an equidigital number, since it uses as much as digits as its factorization.

10100122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54403.

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

Adding to 10100122001 its reverse (10022100101), we get a palindrome (20122222102).

The spelling of 10100122001 in words is "ten billion, one hundred million, one hundred twenty-two thousand, one".