12221121012100 has 1728 divisors, whose sum is σ = 39609187349760. Its totient is φ = 3231664128000.

The previous prime is 12221121012031. The next prime is 12221121012101. The reversal of 12221121012100 is 121012112221.

It is not an unprimeable number, because it can be changed into a prime (12221121012101) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 87921733831 + ... + 87921733969.

It is an arithmetic number, because the mean of its divisors is an integer number (22921983420).

Almost surely, 2^{12221121012100} is an apocalyptic number.

12221121012100 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 12221121012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19804593674880).

12221121012100 is an abundant number, since it is smaller than the sum of its proper divisors (27388066337660).

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

12221121012100 is a wasteful number, since it uses less digits than its factorization.

12221121012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12221121012100 its reverse (121012112221), we get a palindrome (12342133124321).

The spelling of 12221121012100 in words is "twelve trillion, two hundred twenty-one billion, one hundred twenty-one million, twelve thousand, one hundred".