10010213324100 has 216 divisors, whose sum is σ = 35024884326432. Its totient is φ = 2370282969600.

The previous prime is 10010213324063. The next prime is 10010213324107. The reversal of 10010213324100 is 142331201001.

10010213324100 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 213 + 32 + 410 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10010213324107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11331657 + ... + 12183056.

It is an arithmetic number, because the mean of its divisors is an integer number (162152242252).

Almost surely, 2^{10010213324100} is an apocalyptic number.

10010213324100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010213324100 is an abundant number, since it is smaller than the sum of its proper divisors (25014671002332).

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

10010213324100 is a wasteful number, since it uses less digits than its factorization.

10010213324100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23514787 (or 23514777 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10010213324100 its reverse (142331201001), we get a palindrome (10152544525101).

The spelling of 10010213324100 in words is "ten trillion, ten billion, two hundred thirteen million, three hundred twenty-four thousand, one hundred".