10120112101 has 16 divisors (see below), whose sum is σ = 11625085440. Its totient is φ = 8712958320.

The previous prime is 10120112071. The next prime is 10120112111. The reversal of 10120112101 is 10121102101.

It is not a de Polignac number, because 10120112101 - 2⁵ = 10120112069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813736 + ... + 826078.

It is an arithmetic number, because the mean of its divisors is an integer number (726567840).

Almost surely, 2^10120112101 is an apocalyptic number.

10120112101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120112101 is a deficient number, since it is larger than the sum of its proper divisors (1504973339).

10120112101 is a wasteful number, since it uses less digits than its factorization.

10120112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16296.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10120112101 its reverse (10121102101), we get a palindrome (20241214202).

It can be divided in two parts, 10120 and 112101, that added together give a palindrome (122221).

The spelling of 10120112101 in words is "ten billion, one hundred twenty million, one hundred twelve thousand, one hundred one".