2122210112100 has 144 divisors (see below), whose sum is σ = 6617332713600. Its totient is φ = 522015436800.

The previous prime is 2122210112069. The next prime is 2122210112101. The reversal of 2122210112100 is 12110122212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2122210112100.

It is not an unprimeable number, because it can be changed into a prime (2122210112101) 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, 5261620 + ... + 5650580.

It is an arithmetic number, because the mean of its divisors is an integer number (45953699400).

Almost surely, 2^{2122210112100} is an apocalyptic number.

2122210112100 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 2122210112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308666356800).

2122210112100 is an abundant number, since it is smaller than the sum of its proper divisors (4495122601500).

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

2122210112100 is a wasteful number, since it uses less digits than its factorization.

2122210112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390390 (or 390383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122210112100 its reverse (12110122212), we get a palindrome (2134320234312).

The spelling of 2122210112100 in words is "two trillion, one hundred twenty-two billion, two hundred ten million, one hundred twelve thousand, one hundred".