100213213103000 has 256 divisors, whose sum is σ = 253811064124800. Its totient is φ = 36905630054400.

The previous prime is 100213213102993. The next prime is 100213213103039. The reversal of 100213213103000 is 301312312001.

It is a self number, because there is not a number n which added to its sum of digits gives 100213213103000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 599575442 + ... + 599742558.

Almost surely, 2^{100213213103000} is an apocalyptic number.

100213213103000 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 100213213103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126905532062400).

100213213103000 is an abundant number, since it is smaller than the sum of its proper divisors (153597851021800).

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

100213213103000 is a wasteful number, since it uses less digits than its factorization.

100213213103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168047 (or 168033 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100213213103000 its reverse (301312312001), we get a palindrome (100514525415001).

The spelling of 100213213103000 in words is "one hundred trillion, two hundred thirteen billion, two hundred thirteen million, one hundred three thousand".