10100120210201 has 32 divisors (see below), whose sum is σ = 12003863040000. Its totient is φ = 8492281170576.

The previous prime is 10100120210119. The next prime is 10100120210203. The reversal of 10100120210201 is 10201202100101.

It is not a de Polignac number, because 10100120210201 - 2²⁶ = 10100053101337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100120210203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8916320 + ... + 9985038.

It is an arithmetic number, because the mean of its divisors is an integer number (375120720000).

Almost surely, 2^{10100120210201} is an apocalyptic number.

It is an amenable number.

10100120210201 is a deficient number, since it is larger than the sum of its proper divisors (1903742829799).

10100120210201 is an equidigital number, since it uses as much as digits as its factorization.

10100120210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069266 (or 1069252 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100120210201 its reverse (10201202100101), we get a palindrome (20301322310302).

The spelling of 10100120210201 in words is "ten trillion, one hundred billion, one hundred twenty million, two hundred ten thousand, two hundred one".