10120000010130 has 320 divisors, whose sum is σ = 28231396300800. Its totient is φ = 2598443504640.

The previous prime is 10120000010093. The next prime is 10120000010137. The reversal of 10120000010130 is 3101000002101.

It is a super-3 number, since 3×10120000010130³ (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10120000010137) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5129243824 + ... + 5129245796.

It is an arithmetic number, because the mean of its divisors is an integer number (88223113440).

Almost surely, 2^{10120000010130} is an apocalyptic number.

10120000010130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120000010130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115698150400).

10120000010130 is an abundant number, since it is smaller than the sum of its proper divisors (18111396290670).

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

10120000010130 is a wasteful number, since it uses less digits than its factorization.

10120000010130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10120000010130 its reverse (3101000002101), we get a palindrome (13221000012231).

The spelling of 10120000010130 in words is "ten trillion, one hundred twenty billion, ten thousand, one hundred thirty".