100212133132300 has 144 divisors (see below), whose sum is σ = 249434379052992. Its totient is φ = 34232899276800.

The previous prime is 100212133132273. The next prime is 100212133132313. The reversal of 100212133132300 is 3231331212001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2988446334 + ... + 2988479866.

It is an arithmetic number, because the mean of its divisors is an integer number (1732183187868).

Almost surely, 2^{100212133132300} is an apocalyptic number.

100212133132300 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 100212133132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124717189526496).

100212133132300 is an abundant number, since it is smaller than the sum of its proper divisors (149222245920692).

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

100212133132300 is a wasteful number, since it uses less digits than its factorization.

100212133132300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49028 (or 49021 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100212133132300 its reverse (3231331212001), we get a palindrome (103443464344301).

The spelling of 100212133132300 in words is "one hundred trillion, two hundred twelve billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred".