221122220122100 has 144 divisors (see below), whose sum is σ = 529116315638400. Its totient is φ = 79540128960000.

The previous prime is 221122220122007. The next prime is 221122220122123. The reversal of 221122220122100 is 1221022221122.

It is a super-2 number, since 2×221122220122100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122312561 + ... + 124107239.

It is an arithmetic number, because the mean of its divisors is an integer number (3674418858600).

Almost surely, 2^{221122220122100} is an apocalyptic number.

221122220122100 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 221122220122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264558157819200).

221122220122100 is an abundant number, since it is smaller than the sum of its proper divisors (307994095516300).

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

221122220122100 is a wasteful number, since it uses less digits than its factorization.

221122220122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795914 (or 1795907 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221122220122100 its reverse (1221022221122), we get a palindrome (222343242343222).

It can be divided in two parts, 2211222 and 20122100, that added together give a palindrome (22333322).

The spelling of 221122220122100 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred".