2200100101122 has 128 divisors (see below), whose sum is σ = 5554622158848. Its totient is φ = 564309043200.

The previous prime is 2200100101109. The next prime is 2200100101123. The reversal of 2200100101122 is 2211010010022.

It is a junction number, because it is equal to n+sod(n) for n = 2200100101098 and 2200100101107.

It is not an unprimeable number, because it can be changed into a prime (2200100101123) 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, 91289778 + ... + 91313874.

It is an arithmetic number, because the mean of its divisors is an integer number (43395485616).

Almost surely, 2^{2200100101122} is an apocalyptic number.

2200100101122 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 2200100101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777311079424).

2200100101122 is an abundant number, since it is smaller than the sum of its proper divisors (3354522057726).

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

2200100101122 is a wasteful number, since it uses less digits than its factorization.

2200100101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26584.

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

Adding to 2200100101122 its reverse (2211010010022), we get a palindrome (4411110111144).

The spelling of 2200100101122 in words is "two trillion, two hundred billion, one hundred million, one hundred one thousand, one hundred twenty-two".