22211223110100 has 216 divisors, whose sum is σ = 72209408515608. Its totient is φ = 5705852544000.

The previous prime is 22211223110071. The next prime is 22211223110129. The reversal of 22211223110100 is 101132211222.

22211223110100 is a `hidden beast` number, since 2 + 221 + 122 + 311 + 0 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22211223110071) and next prime (22211223110129).

It can be written as a sum of positive squares in 12 ways, for example, as 332011049616 + 21879212060484 = 576204^2 + 4677522^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61302 + ... + 6665298.

Almost surely, 2^{22211223110100} is an apocalyptic number.

22211223110100 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 22211223110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36104704257804).

22211223110100 is an abundant number, since it is smaller than the sum of its proper divisors (49998185405508).

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

22211223110100 is a wasteful number, since it uses less digits than its factorization.

22211223110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604155 (or 6604145 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 22211223110100 its reverse (101132211222), we get a palindrome (22312355321322).

The spelling of 22211223110100 in words is "twenty-two trillion, two hundred eleven billion, two hundred twenty-three million, one hundred ten thousand, one hundred".