2122213004100 has 216 divisors, whose sum is σ = 7647764761728. Its totient is φ = 482172364800.

The previous prime is 2122213004089. The next prime is 2122213004101. The reversal of 2122213004100 is 14003122212.

It is a happy number.

2122213004100 is a `hidden beast` number, since 2 + 1 + 2 + 221 + 30 + 0 + 410 + 0 = 666.

It is a super-2 number, since 2×2122213004100² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2122213004101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43540 + ... + 2060660.

Almost surely, 2^{2122213004100} is an apocalyptic number.

2122213004100 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 2122213004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823882380864).

2122213004100 is an abundant number, since it is smaller than the sum of its proper divisors (5525551757628).

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

2122213004100 is a wasteful number, since it uses less digits than its factorization.

2122213004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017315 (or 2017305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2122213004100 its reverse (14003122212), we get a palindrome (2136216126312).

The spelling of 2122213004100 in words is "two trillion, one hundred twenty-two billion, two hundred thirteen million, four thousand, one hundred".