10213121322000 has 240 divisors, whose sum is σ = 36635112641712. Its totient is φ = 2649890764800.

The previous prime is 10213121321969. The next prime is 10213121322011. The reversal of 10213121322000 is 22312131201.

10213121322000 is a `hidden beast` number, since 1 + 0 + 21 + 312 + 132 + 200 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 818945361936 + 9394175960064 = 904956^2 + 3064992^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7001509 + ... + 8333508.

Almost surely, 2^{10213121322000} is an apocalyptic number.

10213121322000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213121322000 is an abundant number, since it is smaller than the sum of its proper divisors (26421991319712).

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

10213121322000 is a wasteful number, since it uses less digits than its factorization.

10213121322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15335083 (or 15335064 counting only the distinct ones).

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

Adding to 10213121322000 its reverse (22312131201), we get a palindrome (10235433453201).

The spelling of 10213121322000 in words is "ten trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred twenty-two thousand".