221201002022112 has 1152 divisors, whose sum is σ = 744453787004928. Its totient is φ = 61013716992000.

The previous prime is 221201002022111. The next prime is 221201002022131. The reversal of 221201002022112 is 211220200102122.

It is a happy number.

221201002022112 is a `hidden beast` number, since 221 + 20 + 10 + 0 + 202 + 211 + 2 = 666.

It is a super-2 number, since 2×221201002022112² (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 (221201002022111) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 479828637562 + ... + 479828638022.

It is an arithmetic number, because the mean of its divisors is an integer number (646227245664).

Almost surely, 2^{221201002022112} 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 221201002022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372226893502464).

221201002022112 is an abundant number, since it is smaller than the sum of its proper divisors (523252784982816).

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

221201002022112 is a wasteful number, since it uses less digits than its factorization.

221201002022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221201002022112 its reverse (211220200102122), we get a palindrome (432421202124234).

The spelling of 221201002022112 in words is "two hundred twenty-one trillion, two hundred one billion, two million, twenty-two thousand, one hundred twelve".