221002211222100 has 576 divisors, whose sum is σ = 887226247219200. Its totient is φ = 45848322432000.

The previous prime is 221002211222077. The next prime is 221002211222179. The reversal of 221002211222100 is 1222112200122.

It is a happy number.

221002211222100 is a `hidden beast` number, since 2 + 210 + 0 + 221 + 1 + 22 + 210 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127831440 + ... + 129548760.

Almost surely, 2^{221002211222100} is an apocalyptic number.

221002211222100 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 221002211222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443613123609600).

221002211222100 is an abundant number, since it is smaller than the sum of its proper divisors (666224035997100).

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

221002211222100 is a wasteful number, since it uses less digits than its factorization.

221002211222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717981 (or 1717968 counting only the distinct ones).

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

Adding to 221002211222100 its reverse (1222112200122), we get a palindrome (222224323422222).

The spelling of 221002211222100 in words is "two hundred twenty-one trillion, two billion, two hundred eleven million, two hundred twenty-two thousand, one hundred".