221211000201100 has 144 divisors (see below), whose sum is σ = 590883626458048. Its totient is φ = 70000144220160.

The previous prime is 221211000201091. The next prime is 221211000201127. The reversal of 221211000201100 is 1102000112122.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65632252 + ... + 68920348.

Almost surely, 2^{221211000201100} is an apocalyptic number.

221211000201100 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 221211000201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295441813229024).

221211000201100 is an abundant number, since it is smaller than the sum of its proper divisors (369672626256948).

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

221211000201100 is a wasteful number, since it uses less digits than its factorization.

221211000201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295524 (or 3295517 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221211000201100 its reverse (1102000112122), we get a palindrome (222313000313222).

The spelling of 221211000201100 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred one thousand, one hundred".