200001000101112 has 288 divisors, whose sum is σ = 658664499916800. Its totient is φ = 54599815670400.

The previous prime is 200001000101099. The next prime is 200001000101113. The reversal of 200001000101112 is 211101000100002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200001000101094 and 200001000101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200001000101113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2933964 + ... + 20214107.

It is an arithmetic number, because the mean of its divisors is an integer number (2287029513600).

Almost surely, 2^{200001000101112} 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 200001000101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329332249958400).

200001000101112 is an abundant number, since it is smaller than the sum of its proper divisors (458663499815688).

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

200001000101112 is a wasteful number, since it uses less digits than its factorization.

200001000101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23148207 (or 23148193 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200001000101112 its reverse (211101000100002), we get a palindrome (411102000201114).

The spelling of 200001000101112 in words is "two hundred trillion, one billion, one hundred one thousand, one hundred twelve".