10001122210002 has 384 divisors, whose sum is σ = 27041477944320. Its totient is φ = 2451703161600.

The previous prime is 10001122209931. The next prime is 10001122210019. The reversal of 10001122210002 is 20001222110001.

It is a self number, because there is not a number n which added to its sum of digits gives 10001122210002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2089223053 + ... + 2089227839.

It is an arithmetic number, because the mean of its divisors is an integer number (70420515480).

Almost surely, 2^{10001122210002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001122210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520738972160).

10001122210002 is an abundant number, since it is smaller than the sum of its proper divisors (17040355734318).

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

10001122210002 is a wasteful number, since it uses less digits than its factorization.

10001122210002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001122210002 its reverse (20001222110001), we get a palindrome (30002344320003).

The spelling of 10001122210002 in words is "ten trillion, one billion, one hundred twenty-two million, two hundred ten thousand, two".