10130121112000 has 224 divisors, whose sum is σ = 25532569183680. Its totient is φ = 3980229120000.

The previous prime is 10130121111977. The next prime is 10130121112037. The reversal of 10130121112000 is 21112103101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 651824230 + ... + 651839770.

Almost surely, 2^{10130121112000} is an apocalyptic number.

10130121112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766284591840).

10130121112000 is an abundant number, since it is smaller than the sum of its proper divisors (15402448071680).

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

10130121112000 is a wasteful number, since it uses less digits than its factorization.

10130121112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17008 (or 16988 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10130121112000 its reverse (21112103101), we get a palindrome (10151233215101).

The spelling of 10130121112000 in words is "ten trillion, one hundred thirty billion, one hundred twenty-one million, one hundred twelve thousand".