10120120101 has 32 divisors (see below), whose sum is σ = 18452645120. Its totient is φ = 5338084032.

The previous prime is 10120120099. The next prime is 10120120103. The reversal of 10120120101 is 10102102101.

It is a happy number.

10120120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10120120099) and next prime (10120120103).

It is not a de Polignac number, because 10120120101 - 2¹ = 10120120099 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120120103) 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 31 ways as a sum of consecutive naturals, for example, 2056990 + ... + 2061903.

It is an arithmetic number, because the mean of its divisors is an integer number (576645160).

Almost surely, 2^10120120101 is an apocalyptic number.

It is an amenable number.

10120120101 is a deficient number, since it is larger than the sum of its proper divisors (8332525019).

10120120101 is a wasteful number, since it uses less digits than its factorization.

10120120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118922 (or 4118916 counting only the distinct ones).

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

Adding to 10120120101 its reverse (10102102101), we get a palindrome (20222222202).

The spelling of 10120120101 in words is "ten billion, one hundred twenty million, one hundred twenty thousand, one hundred one".