100212120 has 64 divisors (see below), whose sum is σ = 334044000. Its totient is φ = 26722944.

The previous prime is 100212113. The next prime is 100212121. The reversal of 100212120 is 21212001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45315 + ... + 47474.

Almost surely, 2^100212120 is an apocalyptic number.

100212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212120 is an abundant number, since it is smaller than the sum of its proper divisors (233831880).

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

100212120 is a wasteful number, since it uses less digits than its factorization.

100212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92809 (or 92799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100212120 is about 10010.6003815955. The cubic root of 100212120 is about 464.4868428557.

Adding to 100212120 its reverse (21212001), we get a palindrome (121424121).

The spelling of 100212120 in words is "one hundred million, two hundred twelve thousand, one hundred twenty".