100212120000 has 280 divisors, whose sum is σ = 368142469200. Its totient is φ = 26722944000.

The previous prime is 100212119993. The next prime is 100212120007. The reversal of 100212120000 is 21212001.

It is an interprime number because it is at equal distance from previous prime (100212119993) and next prime (100212120007).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212120007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1033606 + ... + 1126394.

Almost surely, 2^100212120000 is an apocalyptic number.

100212120000 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 100212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184071234600).

100212120000 is an abundant number, since it is smaller than the sum of its proper divisors (267930349200).

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

100212120000 is an frugal number, since it uses more digits than its factorization.

100212120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92830 (or 92799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100212120000 its reverse (21212001), we get a palindrome (100233332001).

It can be divided in two parts, 1002121 and 20000, that added together give a square (1022121 = 1011²).

The spelling of 100212120000 in words is "one hundred billion, two hundred twelve million, one hundred twenty thousand".