221002011112120 has 128 divisors (see below), whose sum is σ = 569817164759040. Its totient is φ = 75568643804160.

The previous prime is 221002011112117. The next prime is 221002011112171. The reversal of 221002011112120 is 21211110200122.

It is a super-2 number, since 2×221002011112120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221002011112094 and 221002011112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1591693900 + ... + 1591832740.

It is an arithmetic number, because the mean of its divisors is an integer number (4451696599680).

Almost surely, 2^{221002011112120} is an apocalyptic number.

221002011112120 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 221002011112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284908582379520).

221002011112120 is an abundant number, since it is smaller than the sum of its proper divisors (348815153646920).

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

221002011112120 is a wasteful number, since it uses less digits than its factorization.

221002011112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154085 (or 154081 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221002011112120 its reverse (21211110200122), we get a palindrome (242213121312242).

The spelling of 221002011112120 in words is "two hundred twenty-one trillion, two billion, eleven million, one hundred twelve thousand, one hundred twenty".