10212212313000 has 384 divisors, whose sum is σ = 36374717433600. Its totient is φ = 2579058240000.

The previous prime is 10212212312983. The next prime is 10212212313011. The reversal of 10212212313000 is 31321221201.

10212212313000 is a `hidden beast` number, since 10 + 2 + 122 + 1 + 231 + 300 + 0 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20662771 + ... + 21151229.

It is an arithmetic number, because the mean of its divisors is an integer number (94725826650).

Almost surely, 2^{10212212313000} is an apocalyptic number.

10212212313000 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 10212212313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18187358716800).

10212212313000 is an abundant number, since it is smaller than the sum of its proper divisors (26162505120600).

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

10212212313000 is a wasteful number, since it uses less digits than its factorization.

10212212313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488610 (or 488593 counting only the distinct ones).

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

Adding to 10212212313000 its reverse (31321221201), we get a palindrome (10243533534201).

It can be divided in two parts, 10212 and 212313000, that added together give a palindrome (212323212).

The spelling of 10212212313000 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, three hundred thirteen thousand".