22122021102120 has 96 divisors (see below), whose sum is σ = 75022506374400. Its totient is φ = 5642718423936.

The previous prime is 22122021102089. The next prime is 22122021102149. The reversal of 22122021102120 is 2120112022122.

It is a happy number.

22122021102120 is a `hidden beast` number, since 2 + 21 + 220 + 211 + 0 + 212 + 0 = 666.

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 = 22122021102093 and 22122021102102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1335862560 + ... + 1335879119.

It is an arithmetic number, because the mean of its divisors is an integer number (781484441400).

Almost surely, 2^{22122021102120} is an apocalyptic number.

22122021102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122021102120 is an abundant number, since it is smaller than the sum of its proper divisors (52900485272280).

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

22122021102120 is a wasteful number, since it uses less digits than its factorization.

22122021102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671741719 (or 2671741712 counting only the distinct ones).

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

Adding to 22122021102120 its reverse (2120112022122), we get a palindrome (24242133124242).

The spelling of 22122021102120 in words is "twenty-two trillion, one hundred twenty-two billion, twenty-one million, one hundred two thousand, one hundred twenty".