100212120121212 has 144 divisors (see below), whose sum is σ = 277214710342752. Its totient is φ = 30271614320640.

The previous prime is 100212120121207. The next prime is 100212120121213. The reversal of 100212120121212 is 212121021212001.

100212120121212 is a `hidden beast` number, since 1 + 0 + 0 + 212 + 120 + 121 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212120121213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159234748 + ... + 159862844.

It is an arithmetic number, because the mean of its divisors is an integer number (1925102155158).

Almost surely, 2^{100212120121212} is an apocalyptic number.

100212120121212 is a gapful number since it is divisible by the number (12) 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 100212120121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138607355171376).

100212120121212 is an abundant number, since it is smaller than the sum of its proper divisors (177002590221540).

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

100212120121212 is a wasteful number, since it uses less digits than its factorization.

100212120121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629388 (or 629383 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100212120121212 its reverse (212121021212001), we get a palindrome (312333141333213).

The spelling of 100212120121212 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twelve".