221100000100100 has 108 divisors (see below), whose sum is σ = 527502908663472. Its totient is φ = 80379612772800.

The previous prime is 221100000100087. The next prime is 221100000100103. The reversal of 221100000100100 is 1001000001122.

It is not an unprimeable number, because it can be changed into a prime (221100000100103) 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, 45443939 + ... + 50073461.

Almost surely, 2^{221100000100100} is an apocalyptic number.

221100000100100 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 221100000100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263751454331736).

221100000100100 is an abundant number, since it is smaller than the sum of its proper divisors (306402908563372).

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

221100000100100 is a wasteful number, since it uses less digits than its factorization.

221100000100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4633506 (or 4633488 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 221100000100100 its reverse (1001000001122), we get a palindrome (222101000101222).

The spelling of 221100000100100 in words is "two hundred twenty-one trillion, one hundred billion, one hundred thousand, one hundred".