221010102122220 has 48 divisors (see below), whose sum is σ = 687586984381920. Its totient is φ = 58936027232448.

The previous prime is 221010102122207. The next prime is 221010102122231. The reversal of 221010102122220 is 22221201010122.

It is a happy number.

221010102122220 is a `hidden beast` number, since 2 + 210 + 10 + 10 + 212 + 2 + 220 = 666.

It is a super-2 number, since 2×221010102122220² (a number of 29 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 = 221010102122193 and 221010102122202.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 204638982907 + ... + 204638983986.

It is an arithmetic number, because the mean of its divisors is an integer number (14324728841290).

Almost surely, 2^{221010102122220} is an apocalyptic number.

221010102122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010102122220 is an abundant number, since it is smaller than the sum of its proper divisors (466576882259700).

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

221010102122220 is a wasteful number, since it uses less digits than its factorization.

221010102122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409277966911 (or 409277966903 counting only the distinct ones).

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

Adding to 221010102122220 its reverse (22221201010122), we get a palindrome (243231303132342).

The spelling of 221010102122220 in words is "two hundred twenty-one trillion, ten billion, one hundred two million, one hundred twenty-two thousand, two hundred twenty".