10221221120220 has 108 divisors (see below), whose sum is σ = 34079184430200. Its totient is φ = 2477871781440.

The previous prime is 10221221120197. The next prime is 10221221120237. The reversal of 10221221120220 is 2202112212201.

It is a happy number.

10221221120220 is a `hidden beast` number, since 1 + 0 + 2 + 212 + 211 + 20 + 220 = 666.

It is a super-2 number, since 2×10221221120220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10221221120193 and 10221221120202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234625170 + ... + 234668729.

Almost surely, 2^{10221221120220} is an apocalyptic number.

10221221120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221221120220 is an abundant number, since it is smaller than the sum of its proper divisors (23857963309980).

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

10221221120220 is a wasteful number, since it uses less digits than its factorization.

10221221120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469293936 (or 469293920 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221221120220 its reverse (2202112212201), we get a palindrome (12423333332421).

The spelling of 10221221120220 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, two hundred twenty".