221000201101100 has 72 divisors (see below), whose sum is σ = 501160503237408. Its totient is φ = 84431699123200.

The previous prime is 221000201101051. The next prime is 221000201101111. The reversal of 221000201101100 is 1101102000122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69408221 + ... + 72522420.

It is an arithmetic number, because the mean of its divisors is an integer number (6960562544964).

Almost surely, 2^{221000201101100} is an apocalyptic number.

221000201101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000201101100 is an abundant number, since it is smaller than the sum of its proper divisors (280160302136308).

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

221000201101100 is a wasteful number, since it uses less digits than its factorization.

221000201101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141931355 (or 141931348 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 221000201101100 its reverse (1101102000122), we get a palindrome (222101303101222).

The spelling of 221000201101100 in words is "two hundred twenty-one trillion, two hundred one million, one hundred one thousand, one hundred".