100212212120 has 64 divisors (see below), whose sum is σ = 227925446400. Its totient is φ = 39650444800.

The previous prime is 100212212083. The next prime is 100212212131. The reversal of 100212212120 is 21212212001.

It is a junction number, because it is equal to n+sod(n) for n = 100212212095 and 100212212104.

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, 4469177 + ... + 4491543.

It is an arithmetic number, because the mean of its divisors is an integer number (3561335100).

Almost surely, 2^100212212120 is an apocalyptic number.

100212212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212212120 is an abundant number, since it is smaller than the sum of its proper divisors (127713234280).

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

100212212120 is a wasteful number, since it uses less digits than its factorization.

100212212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23588 (or 23584 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100212212120 its reverse (21212212001), we get a palindrome (121424424121).

The spelling of 100212212120 in words is "one hundred billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty".