221010201120 has 48 divisors (see below), whose sum is σ = 696182135040. Its totient is φ = 58936053504.

The previous prime is 221010201023. The next prime is 221010201149. The reversal of 221010201120 is 21102010122.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 221010201096 and 221010201105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230218480 + ... + 230219439.

It is an arithmetic number, because the mean of its divisors is an integer number (14503794480).

Almost surely, 2^221010201120 is an apocalyptic number.

221010201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010201120 is an abundant number, since it is smaller than the sum of its proper divisors (475171933920).

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

221010201120 is a wasteful number, since it uses less digits than its factorization.

221010201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460437937 (or 460437929 counting only the distinct ones).

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

Adding to 221010201120 its reverse (21102010122), we get a palindrome (242112211242).

The spelling of 221010201120 in words is "two hundred twenty-one billion, ten million, two hundred one thousand, one hundred twenty".