210010102122001 has 24 divisors (see below), whose sum is σ = 222600538938240. Its totient is φ = 198099431387424.

The previous prime is 210010102121947. The next prime is 210010102122127. The reversal of 210010102122001 is 100221201010012.

It is not a de Polignac number, because 210010102122001 - 2¹¹ = 210010102119953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210010102122901) 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 23 ways as a sum of consecutive naturals, for example, 700694491 + ... + 700994143.

It is an arithmetic number, because the mean of its divisors is an integer number (9275022455760).

Almost surely, 2^{210010102122001} is an apocalyptic number.

It is an amenable number.

210010102122001 is a deficient number, since it is larger than the sum of its proper divisors (12590436816239).

210010102122001 is a wasteful number, since it uses less digits than its factorization.

210010102122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308053 (or 308034 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210010102122001 its reverse (100221201010012), we get a palindrome (310231303132013).

The spelling of 210010102122001 in words is "two hundred ten trillion, ten billion, one hundred two million, one hundred twenty-two thousand, one".