221002012121112 has 192 divisors, whose sum is σ = 618856485249600. Its totient is φ = 71210226447360.

The previous prime is 221002012121081. The next prime is 221002012121113. The reversal of 221002012121112 is 211121210200122.

221002012121112 is a `hidden beast` number, since 221 + 0 + 0 + 201 + 21 + 211 + 12 = 666.

It is a super-2 number, since 2×221002012121112² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002012121113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393389314 + ... + 393950702.

It is an arithmetic number, because the mean of its divisors is an integer number (3223210860675).

Almost surely, 2^{221002012121112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221002012121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309428242624800).

221002012121112 is an abundant number, since it is smaller than the sum of its proper divisors (397854473128488).

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

221002012121112 is a wasteful number, since it uses less digits than its factorization.

221002012121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562978 (or 562971 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221002012121112 its reverse (211121210200122), we get a palindrome (432123222321234).

The spelling of 221002012121112 in words is "two hundred twenty-one trillion, two billion, twelve million, one hundred twenty-one thousand, one hundred twelve".