100212120001212 has 192 divisors, whose sum is σ = 240785106274944. Its totient is φ = 32425488875520.

The previous prime is 100212120001211. The next prime is 100212120001237. The reversal of 100212120001212 is 212100021212001.

100212120001212 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100212120001191 and 100212120001200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212120001211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46893831408 + ... + 46893833544.

It is an arithmetic number, because the mean of its divisors is an integer number (1254089095182).

Almost surely, 2^{100212120001212} is an apocalyptic number.

100212120001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212120001212 is an abundant number, since it is smaller than the sum of its proper divisors (140572986273732).

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

100212120001212 is a wasteful number, since it uses less digits than its factorization.

100212120001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100212120001212 its reverse (212100021212001), we get a palindrome (312312141213213).

The spelling of 100212120001212 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, one thousand, two hundred twelve".