10120010210001 has 16 divisors (see below), whose sum is σ = 15011094320320. Its totient is φ = 6738354502560.

The previous prime is 10120010209987. The next prime is 10120010210017. The reversal of 10120010210001 is 10001201002101.

It is a happy number.

It is not a de Polignac number, because 10120010210001 - 2¹⁴ = 10120010193617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10120010210201) 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 15 ways as a sum of consecutive naturals, for example, 231060220 + ... + 231104013.

It is an arithmetic number, because the mean of its divisors is an integer number (938193395020).

Almost surely, 2^{10120010210001} is an apocalyptic number.

It is an amenable number.

10120010210001 is a deficient number, since it is larger than the sum of its proper divisors (4891084110319).

10120010210001 is an equidigital number, since it uses as much as digits as its factorization.

10120010210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462165053 (or 462165047 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10120010210001 its reverse (10001201002101), we get a palindrome (20121211212102).

The spelling of 10120010210001 in words is "ten trillion, one hundred twenty billion, ten million, two hundred ten thousand, one".