21122101121220 has 288 divisors, whose sum is σ = 70564599705600. Its totient is φ = 5071587655680.

The previous prime is 21122101121213. The next prime is 21122101121263. The reversal of 21122101121220 is 2212110122112.

21122101121220 is a `hidden beast` number, since 2 + 112 + 210 + 1 + 121 + 220 = 666.

It is a super-2 number, since 2×21122101121220² (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 = 21122101121193 and 21122101121202.

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 95 ways as a sum of consecutive naturals, for example, 149044956 + ... + 149186604.

It is an arithmetic number, because the mean of its divisors is an integer number (245015971200).

Almost surely, 2^{21122101121220} is an apocalyptic number.

21122101121220 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 21122101121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35282299852800).

21122101121220 is an abundant number, since it is smaller than the sum of its proper divisors (49442498584380).

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

21122101121220 is a wasteful number, since it uses less digits than its factorization.

21122101121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142395 (or 142390 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 21122101121220 its reverse (2212110122112), we get a palindrome (23334211243332).

The spelling of 21122101121220 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".