12211331012100 has 432 divisors, whose sum is σ = 43005813701760. Its totient is φ = 2872124006400.

The previous prime is 12211331012093. The next prime is 12211331012143. The reversal of 12211331012100 is 121013311221.

12211331012100 is a `hidden beast` number, since 1 + 2 + 211 + 331 + 0 + 121 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129256681 + ... + 129351119.

It is an arithmetic number, because the mean of its divisors is an integer number (99550494680).

Almost surely, 2^{12211331012100} is an apocalyptic number.

12211331012100 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 12211331012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502906850880).

12211331012100 is an abundant number, since it is smaller than the sum of its proper divisors (30794482689660).

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

12211331012100 is a wasteful number, since it uses less digits than its factorization.

12211331012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94860 (or 94850 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12211331012100 its reverse (121013311221), we get a palindrome (12332344323321).

The spelling of 12211331012100 in words is "twelve trillion, two hundred eleven billion, three hundred thirty-one million, twelve thousand, one hundred".