10120211001 has 12 divisors (see below), whose sum is σ = 14639683812. Its totient is φ = 6736837536.

The previous prime is 10120210987. The next prime is 10120211047. The reversal of 10120211001 is 10011202101.

It is a happy number.

10120211001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7974668601 + 2145542400 = 89301^2 + 46320^2 .

It is not a de Polignac number, because 10120211001 - 2⁶ = 10120210937 is a prime.

It is a super-2 number, since 2×10120211001² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10120211501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 824386 + ... + 836571.

It is an arithmetic number, because the mean of its divisors is an integer number (1219973651).

Almost surely, 2^10120211001 is an apocalyptic number.

It is an amenable number.

10120211001 is a deficient number, since it is larger than the sum of its proper divisors (4519472811).

10120211001 is a wasteful number, since it uses less digits than its factorization.

10120211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1661640 (or 1661637 counting only the distinct ones).

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

Adding to 10120211001 its reverse (10011202101), we get a palindrome (20131413102).

The spelling of 10120211001 in words is "ten billion, one hundred twenty million, two hundred eleven thousand, one".