200102021000112 has 960 divisors, whose sum is σ = 683882332300800. Its totient is φ = 49825022607360.

The previous prime is 200102021000059. The next prime is 200102021000113. The reversal of 200102021000112 is 211000120201002.

200102021000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (200102021000113) 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, 9917322568 + ... + 9917342744.

It is an arithmetic number, because the mean of its divisors is an integer number (712377429480).

Almost surely, 2^{200102021000112} is an apocalyptic number.

200102021000112 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 200102021000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341941166150400).

200102021000112 is an abundant number, since it is smaller than the sum of its proper divisors (483780311300688).

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

200102021000112 is a wasteful number, since it uses less digits than its factorization.

200102021000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20434 (or 20421 counting only the distinct ones).

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

Adding to 200102021000112 its reverse (211000120201002), we get a palindrome (411102141201114).

The spelling of 200102021000112 in words is "two hundred trillion, one hundred two billion, twenty-one million, one hundred twelve", and thus it is an aban number.