221102010022100 has 288 divisors, whose sum is σ = 513330913468800. Its totient is φ = 82422669312000.

The previous prime is 221102010022099. The next prime is 221102010022133. The reversal of 221102010022100 is 1220010201122.

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, 58292117804 + ... + 58292121596.

It is an arithmetic number, because the mean of its divisors is an integer number (1782399005100).

Almost surely, 2^{221102010022100} is an apocalyptic number.

221102010022100 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 221102010022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256665456734400).

221102010022100 is an abundant number, since it is smaller than the sum of its proper divisors (292228903446700).

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

221102010022100 is a wasteful number, since it uses less digits than its factorization.

221102010022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5803 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221102010022100 its reverse (1220010201122), we get a palindrome (222322020223222).

The spelling of 221102010022100 in words is "two hundred twenty-one trillion, one hundred two billion, ten million, twenty-two thousand, one hundred".