221022201122100 has 432 divisors, whose sum is σ = 819552166637568. Its totient is φ = 48766926458880.

The previous prime is 221022201122057. The next prime is 221022201122159. The reversal of 221022201122100 is 1221102220122.

It is a happy number.

221022201122100 is a `hidden beast` number, since 2 + 210 + 2 + 220 + 11 + 221 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25870684 + ... + 33336716.

Almost surely, 2^{221022201122100} is an apocalyptic number.

221022201122100 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 221022201122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409776083318784).

221022201122100 is an abundant number, since it is smaller than the sum of its proper divisors (598529965515468).

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

221022201122100 is a wasteful number, since it uses less digits than its factorization.

221022201122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466224 (or 7466214 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221022201122100 its reverse (1221102220122), we get a palindrome (222243303342222).

The spelling of 221022201122100 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred one million, one hundred twenty-two thousand, one hundred".