10120111001 has 48 divisors (see below), whose sum is σ = 13720288512. Its totient is φ = 7263527040.

The previous prime is 10120110967. The next prime is 10120111013. The reversal of 10120111001 is 10011102101.

It is a happy number.

10120111001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120111001 - 2¹⁰ = 10120109977 is a prime.

It is a super-2 number, since 2×10120111001² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10120111001.

It is not an unprimeable number, because it can be changed into a prime (10120111201) 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 47 ways as a sum of consecutive naturals, for example, 8180555 + ... + 8181791.

It is an arithmetic number, because the mean of its divisors is an integer number (285839344).

Almost surely, 2^10120111001 is an apocalyptic number.

10120111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120111001 is a deficient number, since it is larger than the sum of its proper divisors (3600177511).

10120111001 is a wasteful number, since it uses less digits than its factorization.

10120111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10120111001 its reverse (10011102101), we get a palindrome (20131213102).

It can be divided in two parts, 10120 and 111001, that added together give a palindrome (121121).

The spelling of 10120111001 in words is "ten billion, one hundred twenty million, one hundred eleven thousand, one".