100212121200000 has 192 divisors, whose sum is σ = 332714267580240. Its totient is φ = 26723232000000.

The previous prime is 100212121199969. The next prime is 100212121200007. The reversal of 100212121200000 is 2121212001.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212121200007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40555051 + ... + 42955050.

Almost surely, 2^{100212121200000} is an apocalyptic number.

100212121200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212121200000 is an abundant number, since it is smaller than the sum of its proper divisors (232502146380240).

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

100212121200000 is an frugal number, since it uses more digits than its factorization.

100212121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83510143 (or 83510111 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100212121200000 its reverse (2121212001), we get a palindrome (100214242412001).

The spelling of 100212121200000 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-one million, two hundred thousand".