10120013101 has 8 divisors (see below), whose sum is σ = 11420704800. Its totient is φ = 8882769840.

The previous prime is 10120013081. The next prime is 10120013117. The reversal of 10120013101 is 10131002101.

10120013101 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10120013101 - 2¹¹ = 10120011053 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 (10120013171) 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 7 ways as a sum of consecutive naturals, for example, 15861771 + ... + 15862408.

It is an arithmetic number, because the mean of its divisors is an integer number (1427588100).

Almost surely, 2^10120013101 is an apocalyptic number.

10120013101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120013101 is a deficient number, since it is larger than the sum of its proper divisors (1300691699).

10120013101 is a wasteful number, since it uses less digits than its factorization.

10120013101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31724219.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10120013101 its reverse (10131002101), we get a palindrome (20251015202).

The spelling of 10120013101 in words is "ten billion, one hundred twenty million, thirteen thousand, one hundred one".