2100221122000 has 160 divisors (see below), whose sum is σ = 5256526373280. Its totient is φ = 810644889600.

The previous prime is 2100221121983. The next prime is 2100221122009. The reversal of 2100221122000 is 2211220012.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1537709121936 + 562512000064 = 1240044^2 + 750008^2 .

It is a super-2 number, since 2×2100221122000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100221122009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108624334 + ... + 108643666.

It is an arithmetic number, because the mean of its divisors is an integer number (32853289833).

Almost surely, 2^{2100221122000} is an apocalyptic number.

2100221122000 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 2100221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628263186640).

2100221122000 is an abundant number, since it is smaller than the sum of its proper divisors (3156305251280).

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

2100221122000 is a wasteful number, since it uses less digits than its factorization.

2100221122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21258 (or 21242 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2100221122000 its reverse (2211220012), we get a palindrome (2102432342012).

The spelling of 2100221122000 in words is "two trillion, one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand".