10010411212320 has 576 divisors, whose sum is σ = 35488546329600. Its totient is φ = 2566821519360.

The previous prime is 10010411212309. The next prime is 10010411212331. The reversal of 10010411212320 is 2321211401001.

10010411212320 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 411 + 21 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10010411212309) and next prime (10010411212331).

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

It is a junction number, because it is equal to n+sod(n) for n = 10010411212293 and 10010411212302.

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 95 ways as a sum of consecutive naturals, for example, 9026519926 + ... + 9026521034.

It is an arithmetic number, because the mean of its divisors is an integer number (61612059600).

Almost surely, 2^{10010411212320} is an apocalyptic number.

10010411212320 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 10010411212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744273164800).

10010411212320 is an abundant number, since it is smaller than the sum of its proper divisors (25478135117280).

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

10010411212320 is a wasteful number, since it uses less digits than its factorization.

10010411212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10010411212320 its reverse (2321211401001), we get a palindrome (12331622613321).

The spelling of 10010411212320 in words is "ten trillion, ten billion, four hundred eleven million, two hundred twelve thousand, three hundred twenty".