100212120112100 has 18 divisors (see below), whose sum is σ = 217460300643474. Its totient is φ = 40084848044800.

The previous prime is 100212120112051. The next prime is 100212120112193. The reversal of 100212120112100 is 1211021212001.

It can be written as a sum of positive squares in 3 ways, for example, as 33140999539684 + 67071120572416 = 5756822^2 + 8189696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501060600461 + ... + 501060600660.

Almost surely, 2^{100212120112100} is an apocalyptic number.

100212120112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212120112100 is an abundant number, since it is smaller than the sum of its proper divisors (117248180531374).

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

100212120112100 is a wasteful number, since it uses less digits than its factorization.

100212120112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002121201135 (or 1002121201128 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212120112100 its reverse (1211021212001), we get a palindrome (101423141324101).

The spelling of 100212120112100 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, one hundred twelve thousand, one hundred".