10011312130212 has 240 divisors, whose sum is σ = 28913016908160. Its totient is φ = 3006524708352.

The previous prime is 10011312130187. The next prime is 10011312130249. The reversal of 10011312130212 is 21203121311001.

10011312130212 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 312 + 130 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 24290368 + ... + 24699080.

It is an arithmetic number, because the mean of its divisors is an integer number (120470903784).

Almost surely, 2^{10011312130212} is an apocalyptic number.

10011312130212 is a gapful number since it is divisible by the number (12) 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 10011312130212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456508454080).

10011312130212 is an abundant number, since it is smaller than the sum of its proper divisors (18901704777948).

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

10011312130212 is a wasteful number, since it uses less digits than its factorization.

10011312130212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408944 (or 408933 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10011312130212 its reverse (21203121311001), we get a palindrome (31214433441213).

The spelling of 10011312130212 in words is "ten trillion, eleven billion, three hundred twelve million, one hundred thirty thousand, two hundred twelve".