2212002222100 has 108 divisors (see below), whose sum is σ = 5328323707644. Its totient is φ = 796400000000.

The previous prime is 2212002222091. The next prime is 2212002222109. The reversal of 2212002222100 is 12222002122.

It is an interprime number because it is at equal distance from previous prime (2212002222091) and next prime (2212002222109).

It can be written as a sum of positive squares in 6 ways, for example, as 58287479184 + 2153714742916 = 241428^2 + 1467554^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212002222109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 317100 + ... + 2127100.

Almost surely, 2^{2212002222100} is an apocalyptic number.

2212002222100 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 2212002222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664161853822).

2212002222100 is an abundant number, since it is smaller than the sum of its proper divisors (3116321485544).

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

2212002222100 is a wasteful number, since it uses less digits than its factorization.

2212002222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810138 (or 1810120 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2212002222100 its reverse (12222002122), we get a palindrome (2224224224222).

The spelling of 2212002222100 in words is "two trillion, two hundred twelve billion, two million, two hundred twenty-two thousand, one hundred".