200201122112112 has 240 divisors, whose sum is σ = 613648533408768. Its totient is φ = 60426049144320.

The previous prime is 200201122112111. The next prime is 200201122112113. The reversal of 200201122112112 is 211211221102002.

200201122112112 is a `hidden beast` number, since 200 + 20 + 11 + 221 + 1 + 211 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (200201122112111) and next prime (200201122112113).

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 (200201122112111) 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, 2654903113 + ... + 2654978519.

Almost surely, 2^{200201122112112} is an apocalyptic number.

200201122112112 is a gapful number since it is divisible by the number (22) 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 200201122112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306824266704384).

200201122112112 is an abundant number, since it is smaller than the sum of its proper divisors (413447411296656).

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

200201122112112 is a wasteful number, since it uses less digits than its factorization.

200201122112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82068 (or 82059 counting only the distinct ones).

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

Adding to 200201122112112 its reverse (211211221102002), we get a palindrome (411412343214114).

The spelling of 200201122112112 in words is "two hundred trillion, two hundred one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twelve".