11122100100210 has 128 divisors (see below), whose sum is σ = 29624298117120. Its totient is φ = 2649576972800.

The previous prime is 11122100100203. The next prime is 11122100100217. The reversal of 11122100100210 is 1200100122111.

It is an interprime number because it is at equal distance from previous prime (11122100100203) and next prime (11122100100217).

It is a super-2 number, since 2×11122100100210² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11122100100217) 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, 52677814 + ... + 52888526.

It is an arithmetic number, because the mean of its divisors is an integer number (231439829040).

Almost surely, 2^{11122100100210} is an apocalyptic number.

11122100100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122100100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812149058560).

11122100100210 is an abundant number, since it is smaller than the sum of its proper divisors (18502198016910).

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

11122100100210 is a wasteful number, since it uses less digits than its factorization.

11122100100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213504.

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

Adding to 11122100100210 its reverse (1200100122111), we get a palindrome (12322200222321).

The spelling of 11122100100210 in words is "eleven trillion, one hundred twenty-two billion, one hundred million, one hundred thousand, two hundred ten".