100213230000 has 200 divisors, whose sum is σ = 348387767728. Its totient is φ = 24667776000.

The previous prime is 100213229999. The next prime is 100213230023. The reversal of 100213230000 is 32312001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 261522 + ... + 518478.

Almost surely, 2^100213230000 is an apocalyptic number.

100213230000 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 100213230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174193883864).

100213230000 is an abundant number, since it is smaller than the sum of its proper divisors (248174537728).

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

100213230000 is a wasteful number, since it uses less digits than its factorization.

100213230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257001 (or 256980 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100213230000 its reverse (32312001), we get a palindrome (100245542001).

The spelling of 100213230000 in words is "one hundred billion, two hundred thirteen million, two hundred thirty thousand".