100212102102012 has 48 divisors (see below), whose sum is σ = 234072638392320. Its totient is φ = 33369127425792.

The previous prime is 100212102102001. The next prime is 100212102102041. The reversal of 100212102102012 is 210201201212001.

It is a junction number, because it is equal to n+sod(n) for n = 100212102101982 and 100212102102000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104644948 + ... + 105598244.

It is an arithmetic number, because the mean of its divisors is an integer number (4876513299840).

Almost surely, 2^{100212102102012} is an apocalyptic number.

100212102102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100212102102012 is an abundant number, since it is smaller than the sum of its proper divisors (133860536290308).

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

100212102102012 is a wasteful number, since it uses less digits than its factorization.

100212102102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962450 (or 962448 counting only the distinct ones).

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

Adding to 100212102102012 its reverse (210201201212001), we get a palindrome (310413303314013).

The spelling of 100212102102012 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, one hundred two thousand, twelve".