10130012110100 has 216 divisors, whose sum is σ = 23919497257320. Its totient is φ = 3710848204800.

The previous prime is 10130012110087. The next prime is 10130012110121. The reversal of 10130012110100 is 101121003101.

It is a happy number.

It can be written as a sum of positive squares in 36 ways, for example, as 8777875711504 + 1352136398596 = 2962748^2 + 1162814^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1134502436 + ... + 1134511364.

Almost surely, 2^{10130012110100} is an apocalyptic number.

10130012110100 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 10130012110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959748628660).

10130012110100 is an abundant number, since it is smaller than the sum of its proper divisors (13789485147220).

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

10130012110100 is a wasteful number, since it uses less digits than its factorization.

10130012110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9439 (or 9391 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10130012110100 its reverse (101121003101), we get a palindrome (10231133113201).

The spelling of 10130012110100 in words is "ten trillion, one hundred thirty billion, twelve million, one hundred ten thousand, one hundred".