22101122122020 has 144 divisors (see below), whose sum is σ = 69448264704000. Its totient is φ = 5682488560896.

The previous prime is 22101122121931. The next prime is 22101122122061. The reversal of 22101122122020 is 2022122110122.

It is a happy number.

22101122122020 is a `hidden beast` number, since 2 + 210 + 11 + 221 + 220 + 2 + 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 = 22101122121984 and 22101122122002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808861 + ... + 6697499.

It is an arithmetic number, because the mean of its divisors is an integer number (482279616000).

Almost surely, 2^{22101122122020} is an apocalyptic number.

22101122122020 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 22101122122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34724132352000).

22101122122020 is an abundant number, since it is smaller than the sum of its proper divisors (47347142581980).

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

22101122122020 is a wasteful number, since it uses less digits than its factorization.

22101122122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889402 (or 5889397 counting only the distinct ones).

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

Adding to 22101122122020 its reverse (2022122110122), we get a palindrome (24123244232142).

The spelling of 22101122122020 in words is "twenty-two trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, twenty".