221122101020100 has 288 divisors, whose sum is σ = 752812810396416. Its totient is φ = 49059152486400.

The previous prime is 221122101020069. The next prime is 221122101020123. The reversal of 221122101020100 is 1020101221122.

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 221122101020100.

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, 10443424 + ... + 23479976.

It is an arithmetic number, because the mean of its divisors is an integer number (2613933369432).

Almost surely, 2^{221122101020100} is an apocalyptic number.

221122101020100 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 221122101020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376406405198208).

221122101020100 is an abundant number, since it is smaller than the sum of its proper divisors (531690709376316).

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

221122101020100 is a wasteful number, since it uses less digits than its factorization.

221122101020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13036815 (or 13036808 counting only the distinct ones).

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

Adding to 221122101020100 its reverse (1020101221122), we get a palindrome (222142202241222).

The spelling of 221122101020100 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred one million, twenty thousand, one hundred".