12212100210100 has 288 divisors, whose sum is σ = 32776527168000. Its totient is φ = 3939291417600.

The previous prime is 12212100210067. The next prime is 12212100210103. The reversal of 12212100210100 is 101200121221.

It is a super-4 number, since 4×12212100210100⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212100210103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47996016 + ... + 48249784.

It is an arithmetic number, because the mean of its divisors is an integer number (113807386000).

Almost surely, 2^{12212100210100} is an apocalyptic number.

12212100210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212100210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16388263584000).

12212100210100 is an abundant number, since it is smaller than the sum of its proper divisors (20564426957900).

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

12212100210100 is a wasteful number, since it uses less digits than its factorization.

12212100210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253888 (or 253867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12212100210100 its reverse (101200121221), we get a palindrome (12313300331321).

The spelling of 12212100210100 in words is "twelve trillion, two hundred twelve billion, one hundred million, two hundred ten thousand, one hundred".