10010210002001 has 12 divisors (see below), whose sum is σ = 11034485248500. Its totient is φ = 9074115827040.

The previous prime is 10010210001959. The next prime is 10010210002031. The reversal of 10010210002001 is 10020001201001.

It can be written as a sum of positive squares in 2 ways, for example, as 8224712751376 + 1785497250625 = 2867876^2 + 1336225^2 .

It is not a de Polignac number, because 10010210002001 - 2¹⁴ = 10010209985617 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 10010210002001.

It is not an unprimeable number, because it can be changed into a prime (10010210002031) 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 11 ways as a sum of consecutive naturals, for example, 118480706 + ... + 118565163.

It is an arithmetic number, because the mean of its divisors is an integer number (919540437375).

Almost surely, 2^{10010210002001} is an apocalyptic number.

10010210002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10010210002001 is a deficient number, since it is larger than the sum of its proper divisors (1024275246499).

10010210002001 is a wasteful number, since it uses less digits than its factorization.

10010210002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237046240 (or 237046229 counting only the distinct ones).

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

Adding to 10010210002001 its reverse (10020001201001), we get a palindrome (20030211203002).

The spelling of 10010210002001 in words is "ten trillion, ten billion, two hundred ten million, two thousand, one".