221001201122100 has 288 divisors, whose sum is σ = 749012316143616. Its totient is φ = 49255429094400.

The previous prime is 221001201122021. The next prime is 221001201122113. The reversal of 221001201122100 is 1221102100122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221001201122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156256297 + ... + 157664303.

It is an arithmetic number, because the mean of its divisors is an integer number (2600737208832).

Almost surely, 2^{221001201122100} is an apocalyptic number.

221001201122100 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 221001201122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374506158071808).

221001201122100 is an abundant number, since it is smaller than the sum of its proper divisors (528011115021516).

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

221001201122100 is a wasteful number, since it uses less digits than its factorization.

221001201122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409895 (or 1409888 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221001201122100 its reverse (1221102100122), we get a palindrome (222222303222222).

The spelling of 221001201122100 in words is "two hundred twenty-one trillion, one billion, two hundred one million, one hundred twenty-two thousand, one hundred".