210001001011001 has 32 divisors (see below), whose sum is σ = 213403639910400. Its totient is φ = 206630282880000.

The previous prime is 210001001010991. The next prime is 210001001011013. The reversal of 210001001011001 is 100110100100012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 210001001011001 - 2¹⁸ = 210001000748857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 210001001011001.

It is not an unprimeable number, because it can be changed into a prime (210001001010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62296349846 + ... + 62296353216.

It is an arithmetic number, because the mean of its divisors is an integer number (6668863747200).

Almost surely, 2^{210001001011001} is an apocalyptic number.

It is an amenable number.

210001001011001 is a deficient number, since it is larger than the sum of its proper divisors (3402638899399).

210001001011001 is a wasteful number, since it uses less digits than its factorization.

210001001011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7745.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 210001001011001 its reverse (100110100100012), we get a palindrome (310111101111013).

The spelling of 210001001011001 in words is "two hundred ten trillion, one billion, one million, eleven thousand, one".