221110110000100 has 144 divisors (see below), whose sum is σ = 488023172017920. Its totient is φ = 86939951155200.

The previous prime is 221110110000079. The next prime is 221110110000113. The reversal of 221110110000100 is 1000011011122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8839795194 + ... + 8839820206.

It is an arithmetic number, because the mean of its divisors is an integer number (3389049805680).

Almost surely, 2^{221110110000100} is an apocalyptic number.

221110110000100 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 221110110000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244011586008960).

221110110000100 is an abundant number, since it is smaller than the sum of its proper divisors (266913062017820).

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

221110110000100 is a wasteful number, since it uses less digits than its factorization.

221110110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29990 (or 29983 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 221110110000100 its reverse (1000011011122), we get a palindrome (222110121011222).

The spelling of 221110110000100 in words is "two hundred twenty-one trillion, one hundred ten billion, one hundred ten million, one hundred", and thus it is an aban number.