10130101104 has 160 divisors (see below), whose sum is σ = 27996263680. Its totient is φ = 3147227136.

The previous prime is 10130101103. The next prime is 10130101127. The reversal of 10130101104 is 40110103101.

10130101104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10130101104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130101103) 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, 27158262 + ... + 27158634.

It is an arithmetic number, because the mean of its divisors is an integer number (174976648).

Almost surely, 2^10130101104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13998131840).

10130101104 is an abundant number, since it is smaller than the sum of its proper divisors (17866162576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10130101104 is a wasteful number, since it uses less digits than its factorization.

10130101104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10130101104 its reverse (40110103101), we get a palindrome (50240204205).

The spelling of 10130101104 in words is "ten billion, one hundred thirty million, one hundred one thousand, one hundred four".