221002100201120 has 384 divisors, whose sum is σ = 619909101504000. Its totient is φ = 74412365561856.

The previous prime is 221002100201083. The next prime is 221002100201143. The reversal of 221002100201120 is 21102001200122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221002100201095 and 221002100201104.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 675793487 + ... + 676120433.

It is an arithmetic number, because the mean of its divisors is an integer number (1614346618500).

Almost surely, 2^{221002100201120} is an apocalyptic number.

221002100201120 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 221002100201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309954550752000).

221002100201120 is an abundant number, since it is smaller than the sum of its proper divisors (398907001302880).

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

221002100201120 is a wasteful number, since it uses less digits than its factorization.

221002100201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327205 (or 327183 counting only the distinct ones).

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

Adding to 221002100201120 its reverse (21102001200122), we get a palindrome (242104101401242).

The spelling of 221002100201120 in words is "two hundred twenty-one trillion, two billion, one hundred million, two hundred one thousand, one hundred twenty".