22110110000100 has 108 divisors (see below), whose sum is σ = 69462965593476. Its totient is φ = 5882412533760.

The previous prime is 22110110000081. The next prime is 22110110000107. The reversal of 22110110000100 is 100001101122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 514329940224 + 21595780059876 = 717168^2 + 4647126^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22110110000107) 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, 27978417 + ... + 28757816.

It is an arithmetic number, because the mean of its divisors is an integer number (643175607347).

Almost surely, 2^{22110110000100} is an apocalyptic number.

22110110000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22110110000100 is an abundant number, since it is smaller than the sum of its proper divisors (47352855593376).

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

22110110000100 is a wasteful number, since it uses less digits than its factorization.

22110110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56736686 (or 56736676 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 22110110000100 its reverse (100001101122), we get a palindrome (22210111101222).

The spelling of 22110110000100 in words is "twenty-two trillion, one hundred ten billion, one hundred ten million, one hundred", and thus it is an aban number.