221020100121200 has 240 divisors, whose sum is σ = 569785740738720. Its totient is φ = 82232254218240.

The previous prime is 221020100121187. The next prime is 221020100121211. The reversal of 221020100121200 is 2121001020122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33377444 + ... + 39447356.

It is an arithmetic number, because the mean of its divisors is an integer number (2374107253078).

Almost surely, 2^{221020100121200} is an apocalyptic number.

221020100121200 is a gapful number since it is divisible by the number (20) 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 221020100121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284892870369360).

221020100121200 is an abundant number, since it is smaller than the sum of its proper divisors (348765640617520).

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

221020100121200 is a wasteful number, since it uses less digits than its factorization.

221020100121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070076 (or 6070065 counting only the distinct ones).

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

Adding to 221020100121200 its reverse (2121001020122), we get a palindrome (223141101141322).

The spelling of 221020100121200 in words is "two hundred twenty-one trillion, twenty billion, one hundred million, one hundred twenty-one thousand, two hundred".