221002000211120 has 40 divisors (see below), whose sum is σ = 513864510410160. Its totient is φ = 88394802679040.

The previous prime is 221002000211119. The next prime is 221002000211123. The reversal of 221002000211120 is 21112000200122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 221002000211095 and 221002000211104.

It is not an unprimeable number, because it can be changed into a prime (221002000211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92522810 + ... + 94881369.

It is an arithmetic number, because the mean of its divisors is an integer number (12846612760254).

Almost surely, 2^{221002000211120} is an apocalyptic number.

221002000211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002000211120 is an abundant number, since it is smaller than the sum of its proper divisors (292862510199040).

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

221002000211120 is a wasteful number, since it uses less digits than its factorization.

221002000211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187418933 (or 187418927 counting only the distinct ones).

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

Adding to 221002000211120 its reverse (21112000200122), we get a palindrome (242114000411242).

The spelling of 221002000211120 in words is "two hundred twenty-one trillion, two billion, two hundred eleven thousand, one hundred twenty".