11122110100002 has 128 divisors (see below), whose sum is σ = 25001880422400. Its totient is φ = 3269881497600.

The previous prime is 11122110100001. The next prime is 11122110100147. The reversal of 11122110100002 is 20000101122111.

It is not an unprimeable number, because it can be changed into a prime (11122110100001) 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, 135559752 + ... + 135641772.

It is an arithmetic number, because the mean of its divisors is an integer number (195327190800).

Almost surely, 2^{11122110100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122110100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12500940211200).

11122110100002 is an abundant number, since it is smaller than the sum of its proper divisors (13879770322398).

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

11122110100002 is a wasteful number, since it uses less digits than its factorization.

11122110100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82552.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11122110100002 its reverse (20000101122111), we get a palindrome (31122211222113).

The spelling of 11122110100002 in words is "eleven trillion, one hundred twenty-two billion, one hundred ten million, one hundred thousand, two".