22220222102100 has 432 divisors, whose sum is σ = 79312510507776. Its totient is φ = 5155208064000.

The previous prime is 22220222102093. The next prime is 22220222102107. The reversal of 22220222102100 is 120122202222.

22220222102100 is a `hidden beast` number, since 2 + 2 + 220 + 22 + 210 + 210 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22220222102093) and next prime (22220222102107).

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 (22220222102107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21847077 + ... + 22841523.

Almost surely, 2^{22220222102100} is an apocalyptic number.

22220222102100 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 22220222102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39656255253888).

22220222102100 is an abundant number, since it is smaller than the sum of its proper divisors (57092288405676).

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

22220222102100 is a wasteful number, since it uses less digits than its factorization.

22220222102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994576 (or 994566 counting only the distinct ones).

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

Adding to 22220222102100 its reverse (120122202222), we get a palindrome (22340344304322).

It can be divided in two parts, 22220222 and 102100, that added together give a palindrome (22322322).

The spelling of 22220222102100 in words is "twenty-two trillion, two hundred twenty billion, two hundred twenty-two million, one hundred two thousand, one hundred".