21122012221002 has 192 divisors, whose sum is σ = 59573708323200. Its totient is φ = 5485421813760.

The previous prime is 21122012220977. The next prime is 21122012221019. The reversal of 21122012221002 is 20012221022112.

It is a happy number.

21122012221002 is a `hidden beast` number, since 211 + 220 + 1 + 22 + 210 + 0 + 2 = 666.

It is a super-2 number, since 2×21122012221002² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209891274 + ... + 209991882.

It is an arithmetic number, because the mean of its divisors is an integer number (310279730850).

Almost surely, 2^{21122012221002} is an apocalyptic number.

21122012221002 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 21122012221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29786854161600).

21122012221002 is an abundant number, since it is smaller than the sum of its proper divisors (38451696102198).

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

21122012221002 is a wasteful number, since it uses less digits than its factorization.

21122012221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107858 (or 107845 counting only the distinct ones).

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

Adding to 21122012221002 its reverse (20012221022112), we get a palindrome (41134233243114).

The spelling of 21122012221002 in words is "twenty-one trillion, one hundred twenty-two billion, twelve million, two hundred twenty-one thousand, two".