21122010122220 has 288 divisors, whose sum is σ = 78801193650816. Its totient is φ = 4469404262400.

The previous prime is 21122010122201. The next prime is 21122010122251. The reversal of 21122010122220 is 2222101022112.

It is a happy number.

21122010122220 is a `hidden beast` number, since 211 + 220 + 1 + 0 + 12 + 2 + 220 = 666.

It is a super-2 number, since 2×21122010122220² (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 = 21122010122193 and 21122010122202.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6776071 + ... + 9389310.

It is an arithmetic number, because the mean of its divisors is an integer number (273615255732).

Almost surely, 2^{21122010122220} is an apocalyptic number.

21122010122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122010122220 is an abundant number, since it is smaller than the sum of its proper divisors (57679183528596).

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

21122010122220 is a wasteful number, since it uses less digits than its factorization.

21122010122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16165481 (or 16165476 counting only the distinct ones).

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

Adding to 21122010122220 its reverse (2222101022112), we get a palindrome (23344111144332).

The spelling of 21122010122220 in words is "twenty-one trillion, one hundred twenty-two billion, ten million, one hundred twenty-two thousand, two hundred twenty".