2122222220100 has 216 divisors, whose sum is σ = 6867560114688. Its totient is φ = 547746105600.

The previous prime is 2122222220087. The next prime is 2122222220101. The reversal of 2122222220100 is 10222222212.

2122222220100 is a `hidden beast` number, since 2 + 122 + 222 + 220 + 100 = 666.

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 (2122222220101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6193467 + ... + 6527133.

Almost surely, 2^{2122222220100} is an apocalyptic number.

2122222220100 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 2122222220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433780057344).

2122222220100 is an abundant number, since it is smaller than the sum of its proper divisors (4745337894588).

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

2122222220100 is a wasteful number, since it uses less digits than its factorization.

2122222220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333915 (or 333905 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122222220100 its reverse (10222222212), we get a palindrome (2132444442312).

It can be divided in two parts, 2122 and 222220100, that added together give a palindrome (222222222).

The spelling of 2122222220100 in words is "two trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty thousand, one hundred".