12101101001220 has 768 divisors, whose sum is σ = 47198553292800. Its totient is φ = 2238241505280.

The previous prime is 12101101001179. The next prime is 12101101001239. The reversal of 12101101001220 is 2210010110121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12101101001196 and 12101101001205.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 160733746 + ... + 160809014.

It is an arithmetic number, because the mean of its divisors is an integer number (61456449600).

Almost surely, 2^{12101101001220} is an apocalyptic number.

12101101001220 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 12101101001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23599276646400).

12101101001220 is an abundant number, since it is smaller than the sum of its proper divisors (35097452291580).

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

12101101001220 is a wasteful number, since it uses less digits than its factorization.

12101101001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75428 (or 75426 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12101101001220 its reverse (2210010110121), we get a palindrome (14311111111341).

The spelling of 12101101001220 in words is "twelve trillion, one hundred one billion, one hundred one million, one thousand, two hundred twenty".