221121110021200 has 240 divisors, whose sum is σ = 552296920734720. Its totient is φ = 84973917450240.

The previous prime is 221121110021197. The next prime is 221121110021221. The reversal of 221121110021200 is 2120011121122.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 5569360549 + ... + 5569400251.

It is an arithmetic number, because the mean of its divisors is an integer number (2301237169728).

Almost surely, 2^{221121110021200} is an apocalyptic number.

221121110021200 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 221121110021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276148460367360).

221121110021200 is an abundant number, since it is smaller than the sum of its proper divisors (331175810713520).

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

221121110021200 is a wasteful number, since it uses less digits than its factorization.

221121110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42126 (or 42115 counting only the distinct ones).

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

Adding to 221121110021200 its reverse (2120011121122), we get a palindrome (223241121142322).

The spelling of 221121110021200 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, one hundred ten million, twenty-one thousand, two hundred".