10213213121010 has 256 divisors, whose sum is σ = 27904778035200. Its totient is φ = 2656963026432.

The previous prime is 10213213121003. The next prime is 10213213121047. The reversal of 10213213121010 is 1012131231201.

10213213121010 is a `hidden beast` number, since 1 + 0 + 21 + 321 + 312 + 1 + 0 + 10 = 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 (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9886943454 + ... + 9886944486.

It is an arithmetic number, because the mean of its divisors is an integer number (109003039200).

Almost surely, 2^{10213213121010} is an apocalyptic number.

10213213121010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10213213121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13952389017600).

10213213121010 is an abundant number, since it is smaller than the sum of its proper divisors (17691564914190).

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

10213213121010 is a wasteful number, since it uses less digits than its factorization.

10213213121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2856 counting only the distinct ones).

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

Adding to 10213213121010 its reverse (1012131231201), we get a palindrome (11225344352211).

The spelling of 10213213121010 in words is "ten trillion, two hundred thirteen billion, two hundred thirteen million, one hundred twenty-one thousand, ten".