221002211212002 has 192 divisors, whose sum is σ = 543414669557760. Its totient is φ = 66760533460800.

The previous prime is 221002211211979. The next prime is 221002211212019. The reversal of 221002211212002 is 200212112200122.

It is a happy number.

221002211212002 is a `hidden beast` number, since 22 + 100 + 221 + 121 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4052010852 + ... + 4052065392.

It is an arithmetic number, because the mean of its divisors is an integer number (2830284737280).

Almost surely, 2^{221002211212002} is an apocalyptic number.

221002211212002 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 221002211212002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271707334778880).

221002211212002 is an abundant number, since it is smaller than the sum of its proper divisors (322412458345758).

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

221002211212002 is a wasteful number, since it uses less digits than its factorization.

221002211212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56931 (or 56919 counting only the distinct ones).

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

Adding to 221002211212002 its reverse (200212112200122), we get a palindrome (421214323412124).

The spelling of 221002211212002 in words is "two hundred twenty-one trillion, two billion, two hundred eleven million, two hundred twelve thousand, two".