12210002212100 has 288 divisors, whose sum is σ = 34110035484672. Its totient is φ = 3681780480000.

The previous prime is 12210002212021. The next prime is 12210002212103. The reversal of 12210002212100 is 121220001221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12210002212103) 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, 1019959115 + ... + 1019971085.

Almost surely, 2^{12210002212100} is an apocalyptic number.

12210002212100 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 12210002212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055017742336).

12210002212100 is an abundant number, since it is smaller than the sum of its proper divisors (21900033272572).

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

12210002212100 is a wasteful number, since it uses less digits than its factorization.

12210002212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16307 (or 16300 counting only the distinct ones).

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

Adding to 12210002212100 its reverse (121220001221), we get a palindrome (12331222213321).

The spelling of 12210002212100 in words is "twelve trillion, two hundred ten billion, two million, two hundred twelve thousand, one hundred".