12100221012100 has 54 divisors (see below), whose sum is σ = 28432655460510. Its totient is φ = 4467773905920.

The previous prime is 12100221012097. The next prime is 12100221012109. The reversal of 12100221012100 is 121012200121.

It can be written as a sum of positive squares in 9 ways, for example, as 11149174765444 + 951046246656 = 3339038^2 + 975216^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (12100221012109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 357977805 + ... + 358011604.

Almost surely, 2^{12100221012100} is an apocalyptic number.

12100221012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100221012100 is an abundant number, since it is smaller than the sum of its proper divisors (16332434448410).

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

12100221012100 is a wasteful number, since it uses less digits than its factorization.

12100221012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715989449 (or 715989429 counting only the distinct ones).

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

Adding to 12100221012100 its reverse (121012200121), we get a palindrome (12221233212221).

The spelling of 12100221012100 in words is "twelve trillion, one hundred billion, two hundred twenty-one million, twelve thousand, one hundred".