100212212100012 has 12 divisors (see below), whose sum is σ = 233828494900056. Its totient is φ = 33404070700000.

The previous prime is 100212212099983. The next prime is 100212212100059. The reversal of 100212212100012 is 210001212212001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 100212212099964 and 100212212100000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4175508837489 + ... + 4175508837512.

It is an arithmetic number, because the mean of its divisors is an integer number (19485707908338).

Almost surely, 2^{100212212100012} is an apocalyptic number.

100212212100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212212100012 is an abundant number, since it is smaller than the sum of its proper divisors (133616282800044).

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

100212212100012 is a wasteful number, since it uses less digits than its factorization.

100212212100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351017675008 (or 8351017675006 counting only the distinct ones).

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

Adding to 100212212100012 its reverse (210001212212001), we get a palindrome (310213424312013).

The spelling of 100212212100012 in words is "one hundred trillion, two hundred twelve billion, two hundred twelve million, one hundred thousand, twelve".