221102110002000 has 640 divisors, whose sum is σ = 758169639751680. Its totient is φ = 55275897600000.

The previous prime is 221102110001999. The next prime is 221102110002107. The reversal of 221102110002000 is 200011201122.

It is a super-2 number, since 2×221102110002000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30661778395 + ... + 30661785605.

It is an arithmetic number, because the mean of its divisors is an integer number (1184640062112).

Almost surely, 2^{221102110002000} is an apocalyptic number.

221102110002000 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 221102110002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379084819875840).

221102110002000 is an abundant number, since it is smaller than the sum of its proper divisors (537067529749680).

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

221102110002000 is a wasteful number, since it uses less digits than its factorization.

221102110002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10020 (or 10004 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221102110002000 its reverse (200011201122), we get a palindrome (221302121203122).

The spelling of 221102110002000 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred ten million, two thousand".