2200101122000 has 160 divisors (see below), whose sum is σ = 5360011937280. Its totient is φ = 873418022400.

The previous prime is 2200101121957. The next prime is 2200101122069. The reversal of 2200101122000 is 2211010022.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 165079337 + ... + 165092663.

It is an arithmetic number, because the mean of its divisors is an integer number (33500074608).

Almost surely, 2^{2200101122000} is an apocalyptic number.

2200101122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200101122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680005968640).

2200101122000 is an abundant number, since it is smaller than the sum of its proper divisors (3159910815280).

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

2200101122000 is a wasteful number, since it uses less digits than its factorization.

2200101122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13966 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2200101122000 its reverse (2211010022), we get a palindrome (2202312132022).

The spelling of 2200101122000 in words is "two trillion, two hundred billion, one hundred one million, one hundred twenty-two thousand".