200000102102112 has 192 divisors, whose sum is σ = 571067110172160. Its totient is φ = 60922959888384.

The previous prime is 200000102102107. The next prime is 200000102102159. The reversal of 200000102102112 is 211201201000002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50367189 + ... + 54192747.

It is an arithmetic number, because the mean of its divisors is an integer number (2974307865480).

Almost surely, 2^{200000102102112} 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 200000102102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285533555086080).

200000102102112 is an abundant number, since it is smaller than the sum of its proper divisors (371067008070048).

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

200000102102112 is a wasteful number, since it uses less digits than its factorization.

200000102102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3826005 (or 3825997 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200000102102112 its reverse (211201201000002), we get a palindrome (411201303102114).

The spelling of 200000102102112 in words is "two hundred trillion, one hundred two million, one hundred two thousand, one hundred twelve".