200001102102112 has 96 divisors (see below), whose sum is σ = 414800568695520. Its totient is φ = 94663187619840.

The previous prime is 200001102102103. The next prime is 200001102102149. The reversal of 200001102102112 is 211201201100002.

200001102102112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×200001102102112³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200001102102092 and 200001102102101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11728197778 + ... + 11728214830.

It is an arithmetic number, because the mean of its divisors is an integer number (4320839257245).

Almost surely, 2^{200001102102112} is an apocalyptic number.

It is an amenable number.

200001102102112 is an abundant number, since it is smaller than the sum of its proper divisors (214799466593408).

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

200001102102112 is a wasteful number, since it uses less digits than its factorization.

200001102102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31056 (or 31048 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 200001102102112 its reverse (211201201100002), we get a palindrome (411202303202114).

The spelling of 200001102102112 in words is "two hundred trillion, one billion, one hundred two million, one hundred two thousand, one hundred twelve".