100012212120 has 64 divisors (see below), whose sum is σ = 308145748320. Its totient is φ = 25949113344.

The previous prime is 100012212073. The next prime is 100012212137. The reversal of 100012212120 is 21212210001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100012212096 and 100012212105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11258197 + ... + 11267076.

Almost surely, 2^100012212120 is an apocalyptic number.

100012212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012212120 is an abundant number, since it is smaller than the sum of its proper divisors (208133536200).

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

100012212120 is a wasteful number, since it uses less digits than its factorization.

100012212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22525324 (or 22525320 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100012212120 its reverse (21212210001), we get a palindrome (121224422121).

The spelling of 100012212120 in words is "one hundred billion, twelve million, two hundred twelve thousand, one hundred twenty".