2122221122100 has 144 divisors (see below), whose sum is σ = 6823556389440. Its totient is φ = 565841980800.

The previous prime is 2122221122057. The next prime is 2122221122101. The reversal of 2122221122100 is 12211222212.

It is a happy number.

2122221122100 is a `hidden beast` number, since 21 + 222 + 211 + 2 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122221122101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19420615 + ... + 19529585.

It is an arithmetic number, because the mean of its divisors is an integer number (47385808260).

Almost surely, 2^{2122221122100} is an apocalyptic number.

2122221122100 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 2122221122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411778194720).

2122221122100 is an abundant number, since it is smaller than the sum of its proper divisors (4701335267340).

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

2122221122100 is a wasteful number, since it uses less digits than its factorization.

2122221122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116207 (or 116194 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122221122100 its reverse (12211222212), we get a palindrome (2134432344312).

The spelling of 2122221122100 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred".