21020022112122 has 128 divisors (see below), whose sum is σ = 51448795453440. Its totient is φ = 6308501472000.

The previous prime is 21020022112057. The next prime is 21020022112129. The reversal of 21020022112122 is 22121122002012.

It is a happy number.

21020022112122 is a `hidden beast` number, since 210 + 20 + 0 + 221 + 1 + 212 + 2 = 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 = 21020022112095 and 21020022112104.

It is not an unprimeable number, because it can be changed into a prime (21020022112129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38871922 + ... + 39408962.

It is an arithmetic number, because the mean of its divisors is an integer number (401943714480).

Almost surely, 2^{21020022112122} is an apocalyptic number.

21020022112122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020022112122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25724397726720).

21020022112122 is an abundant number, since it is smaller than the sum of its proper divisors (30428773341318).

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

21020022112122 is a wasteful number, since it uses less digits than its factorization.

21020022112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537697 (or 537691 counting only the distinct ones).

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

Adding to 21020022112122 its reverse (22121122002012), we get a palindrome (43141144114134).

It can be divided in two parts, 2102002 and 2112122, that added together give a palindrome (4214124).

The spelling of 21020022112122 in words is "twenty-one trillion, twenty billion, twenty-two million, one hundred twelve thousand, one hundred twenty-two".