221202212111020 has 192 divisors, whose sum is σ = 577191162562560. Its totient is φ = 69488450777088.

The previous prime is 221202212111011. The next prime is 221202212111029. The reversal of 221202212111020 is 20111212202122.

It is an interprime number because it is at equal distance from previous prime (221202212111011) and next prime (221202212111029).

It is not an unprimeable number, because it can be changed into a prime (221202212111029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6816222 + ... + 22110298.

It is an arithmetic number, because the mean of its divisors is an integer number (3006203971680).

Almost surely, 2^{221202212111020} is an apocalyptic number.

221202212111020 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 221202212111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288595581281280).

221202212111020 is an abundant number, since it is smaller than the sum of its proper divisors (355988950451540).

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

221202212111020 is a wasteful number, since it uses less digits than its factorization.

221202212111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15294272 (or 15294270 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221202212111020 its reverse (20111212202122), we get a palindrome (241313424313142).

It can be divided in two parts, 22120221 and 2111020, that added together give a triangular number (24231241 = T₆₉₆₁).

The spelling of 221202212111020 in words is "two hundred twenty-one trillion, two hundred two billion, two hundred twelve million, one hundred eleven thousand, twenty".