10216221120 has 448 divisors, whose sum is σ = 42525696000. Its totient is φ = 2259394560.

The previous prime is 10216221107. The next prime is 10216221133. The reversal of 10216221120 is 2112261201.

10216221120 is a `hidden beast` number, since 1 + 0 + 21 + 622 + 1 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (10216221107) and next prime (10216221133).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 10216221093 and 10216221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1872156 + ... + 1877604.

Almost surely, 2^10216221120 is an apocalyptic number.

10216221120 is a gapful number since it is divisible by the number (10) 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 10216221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21262848000).

10216221120 is an abundant number, since it is smaller than the sum of its proper divisors (32309474880).

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

10216221120 is a wasteful number, since it uses less digits than its factorization.

10216221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10216221120 its reverse (2112261201), we get a palindrome (12328482321).

The spelling of 10216221120 in words is "ten billion, two hundred sixteen million, two hundred twenty-one thousand, one hundred twenty".