21022122022002 has 192 divisors, whose sum is σ = 48911567088384. Its totient is φ = 6764190612480.

The previous prime is 21022122021947. The next prime is 21022122022007. The reversal of 21022122022002 is 20022022122012.

21022122022002 is a `hidden beast` number, since 2 + 1 + 0 + 221 + 220 + 220 + 0 + 2 = 666.

It is a super-2 number, since 2×21022122022002² (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 not an unprimeable number, because it can be changed into a prime (21022122022007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 345064048 + ... + 345124964.

It is an arithmetic number, because the mean of its divisors is an integer number (254747745252).

Almost surely, 2^{21022122022002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022122022002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455783544192).

21022122022002 is an abundant number, since it is smaller than the sum of its proper divisors (27889445066382).

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

21022122022002 is a wasteful number, since it uses less digits than its factorization.

21022122022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61215 (or 61203 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21022122022002 its reverse (20022022122012), we get a palindrome (41044144144014).

It can be divided in two parts, 2102212 and 2022002, that added together give a palindrome (4124214).

The spelling of 21022122022002 in words is "twenty-one trillion, twenty-two billion, one hundred twenty-two million, twenty-two thousand, two".